Conecte-se

Bibliografias temáticas / Ε-Regularity / Artigos de revistas

Siga este link para ver outros tipos de publicações sobre o tema: Ε-Regularity.

Artigos de revistas sobre o tema "Ε-Regularity"

Autor: Grafiati

Publicado: 21 de dezembro de 2024

Crie uma referência precisa em APA, MLA, Chicago, Harvard, e outros estilos

Selecione um tipo de fonte:

Veja os 50 melhores artigos de revistas para estudos sobre o assunto "Ε-Regularity".

Ao lado de cada fonte na lista de referências, há um botão "Adicionar à bibliografia". Clique e geraremos automaticamente a citação bibliográfica do trabalho escolhido no estilo de citação de que você precisa: APA, MLA, Harvard, Chicago, Vancouver, etc.

Você também pode baixar o texto completo da publicação científica em formato .pdf e ler o resumo do trabalho online se estiver presente nos metadados.

Veja os artigos de revistas das mais diversas áreas científicas e compile uma bibliografia correta.

1

FOX, JACOB, LÁSZLÓ MIKLÓS LOVÁSZ, and YUFEI ZHAO. "On Regularity Lemmas and their Algorithmic Applications." Combinatorics, Probability and Computing 26, no. 4 (2017): 481–505. http://dx.doi.org/10.1017/s0963548317000049.

Texto completo da fonte

Resumo:

Szemerédi's regularity lemma and its variants are some of the most powerful tools in combinatorics. In this paper, we establish several results around the regularity lemma. First, we prove that whether or not we include the condition that the desired vertex partition in the regularity lemma is equitable has a minimal effect on the number of parts of the partition. Second, we use an algorithmic version of the (weak) Frieze–Kannan regularity lemma to give a substantially faster deterministic approximation algorithm for counting subgraphs in a graph. Previously, only an exponential dependence for

Estilos ABNT, Harvard, Vancouver, APA, etc.

2

CONLON, DAVID, JACOB FOX, and BENNY SUDAKOV. "Hereditary quasirandomness without regularity." Mathematical Proceedings of the Cambridge Philosophical Society 164, no. 3 (2017): 385–99. http://dx.doi.org/10.1017/s0305004116001055.

Texto completo da fonte

Resumo:

AbstractA result of Simonovits and Sós states that for any fixed graph H and any ε > 0 there exists δ > 0 such that if G is an n-vertex graph with the property that every S ⊆ V(G) contains pe(H) |S|v(H) ± δ nv(H) labelled copies of H, then G is quasirandom in the sense that every S ⊆ V(G) contains $\frac{1}{2}$p|S|2± ε n2 edges. The original proof of this result makes heavy use of the regularity lemma, resulting in a bound on δ−1 which is a tower of twos of height polynomial in ε−1. We give an alternative proof of this theorem which avoids the regularity lemma and shows that δ may be tak

Estilos ABNT, Harvard, Vancouver, APA, etc.

3

Chen, Shibing, та Alessio Figalli. "Boundary ε-regularity in optimal transportation". Advances in Mathematics 273 (березень 2015): 540–67. http://dx.doi.org/10.1016/j.aim.2014.12.032.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

4

Gerke, Stefanie, Yoshiharu Kohayakawa, Vojtěch Rödl та Angelika Steger. "Small subsets inherit sparse ε-regularity". Journal of Combinatorial Theory, Series B 97, № 1 (2007): 34–56. http://dx.doi.org/10.1016/j.jctb.2006.03.004.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

5

Zhang, Yanjun, and Qiaozhen Ma. "Asymptotic Behavior for a Class of Nonclassical Parabolic Equations." ISRN Applied Mathematics 2013 (September 1, 2013): 1–14. http://dx.doi.org/10.1155/2013/204270.

Texto completo da fonte

Resumo:

This paper is devoted to the qualitative analysis of a class of nonclassical parabolic equations ut-εΔut-ωΔu+f(u)=g(x) with critical nonlinearity, where ε∈[0,1] and ω>0 are two parameters. Firstly, we establish some uniform decay estimates for the solutions of the problem for g(x)∈H-1(Ω), which are independent of the parameter ε. Secondly, some uniformly (with respect to ε∈[0,1]) asymptotic regularity about the solutions has been established for g(x)∈L2(Ω), which shows that the solutions are exponentially approaching a more regular, fixed subset uniformly (with respect to ε∈[0,1]). Finally,

Estilos ABNT, Harvard, Vancouver, APA, etc.

6

Hasselblatt, Boris. "Regularity of the Anosov splitting and of horospheric foliations." Ergodic Theory and Dynamical Systems 14, no. 4 (1994): 645–66. http://dx.doi.org/10.1017/s0143385700008105.

Texto completo da fonte

Resumo:

Abstract‘Bunching’ conditions on an Anosov system guarantee the regularity of the Anosov splitting up toC2−ε. Open dense sets of symplectic Anosov systems and geodesic flows do not have Anosov splitting exceeding the asserted regularity. This is the first local construction of low-regularity examples.

Estilos ABNT, Harvard, Vancouver, APA, etc.

7

HOSSEINI, KAAVE, SHACHAR LOVETT, GUY MOSHKOVITZ, and ASAF SHAPIRA. "An improved lower bound for arithmetic regularity." Mathematical Proceedings of the Cambridge Philosophical Society 161, no. 2 (2016): 193–97. http://dx.doi.org/10.1017/s030500411600013x.

Texto completo da fonte

Resumo:

AbstractThe arithmetic regularity lemma due to Green [GAFA 2005] is an analogue of the famous Szemerédi regularity lemma in graph theory. It shows that for any abelian group G and any bounded function f : G → [0, 1], there exists a subgroup H ⩽ G of bounded index such that, when restricted to most cosets of H, the function f is pseudorandom in the sense that all its nontrivial Fourier coefficients are small. Quantitatively, if one wishes to obtain that for 1 − ε fraction of the cosets, the nontrivial Fourier coefficients are bounded by ε, then Green shows that |G/H| is bounded by a tower of tw

Estilos ABNT, Harvard, Vancouver, APA, etc.

8

Chen, Jianyi, Zhitao Zhang, Guijuan Chang, and Jing Zhao. "Periodic Solutions to Klein–Gordon Systems with Linear Couplings." Advanced Nonlinear Studies 21, no. 3 (2021): 633–60. http://dx.doi.org/10.1515/ans-2021-2138.

Texto completo da fonte

Resumo:

Abstract In this paper, we study the nonlinear Klein–Gordon systems arising from relativistic physics and quantum field theories { u t ⁢ t - u x ⁢ x + b ⁢ u + ε ⁢ v + f ⁢ ( t , x , u ) = 0 , v t ⁢ t - v x ⁢ x + b ⁢ v + ε ⁢ u + g ⁢ ( t , x , v ) = 0 , \left\{\begin{aligned} \displaystyle{}u_{tt}-u_{xx}+bu+\varepsilon v+f(t,x,u)&\displaystyle=0,\\ \displaystyle v_{tt}-v_{xx}+bv+\varepsilon u+g(t,x,v)&\displaystyle=0,\end{aligned}\right. where u , v u,v satisfy the Dirichlet boundary conditions on spatial interval [ 0 , π ] [0,\pi] , b > 0 b>0 and f , g f,g are 2 ⁢ π 2\pi -periodic

Estilos ABNT, Harvard, Vancouver, APA, etc.

9

Miura, Tatsuya, та Felix Otto. "Sharp boundary ε-regularity of optimal transport maps". Advances in Mathematics 381 (квітень 2021): 107603. http://dx.doi.org/10.1016/j.aim.2021.107603.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

10

Han, Xiaoli, та Jun Sun. "An ε-regularity theorem for the mean curvature flow". Journal of Geometry and Physics 62, № 12 (2012): 2329–36. http://dx.doi.org/10.1016/j.geomphys.2012.07.009.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

11

Colton, David, and Rainer Kress. "Time harmonic electromagnetic waves in an inhomogeneous medium." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116, no. 3-4 (1990): 279–93. http://dx.doi.org/10.1017/s0308210500031516.

Texto completo da fonte

Resumo:

SynopsisWe consider the scattering of time harmonic electromagnetic waves by an inhomogeneous medium of compact support, i.e. the permittivity ε = ε(x) and the conductivity σ = σ(x) are functions of x ∊ ℝ3. Existence, uniqueness and regularity results are established for the direct scattering problem. Then, based on existence and uniqueness results for the exterior and interior impedance boundary value problem, a method is presented for solving the inverse scattering problem.

Estilos ABNT, Harvard, Vancouver, APA, etc.

12

EBMEYER, C. "STEADY FLOW OF FLUIDS WITH SHEAR-DEPENDENT VISCOSITY UNDER MIXED BOUNDARY VALUE CONDITIONS IN POLYHEDRAL DOMAINS." Mathematical Models and Methods in Applied Sciences 10, no. 05 (2000): 629–50. http://dx.doi.org/10.1142/s0218202500000343.

Texto completo da fonte

Resumo:

In this paper the system of partial differential equations [Formula: see text] is studied, where e is the symmetrized gradient of u, and T has p-structure for some p<2 (e.g. div T is the p-Laplacian and p<2). Mixed boundary value conditions on a three-dimensional polyhedral domain are considered. Ws,p-regularity (s=3/2-ε) of the velocity u and Wr,p′-regularity of the pressure π are proven.

Estilos ABNT, Harvard, Vancouver, APA, etc.

13

Zhuge, Jinping. "Regularity theory of elliptic systems in ε-scale flat domains". Advances in Mathematics 379 (березень 2021): 107566. http://dx.doi.org/10.1016/j.aim.2021.107566.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

14

Schikorra, Armin. "$$\varepsilon $$ ε -regularity for systems involving non-local, antisymmetric operators". Calculus of Variations and Partial Differential Equations 54, № 4 (2015): 3531–70. http://dx.doi.org/10.1007/s00526-015-0913-3.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

15

Huang, Shaosai. "ε-Regularity and Structure of Four-dimensional Shrinking Ricci Solitons". International Mathematics Research Notices 2020, № 5 (2018): 1511–74. http://dx.doi.org/10.1093/imrn/rny069.

Texto completo da fonte

Resumo:

Abstract A closed four-dimensional manifold cannot possess a non-flat Ricci soliton metric with arbitrarily small $L^{2}$-norm of the curvature. In this paper, we localize this fact in the case of gradient shrinking Ricci solitons by proving an $\varepsilon $-regularity theorem, thus confirming a conjecture of Cheeger–Tian [20]. As applications, we will also derive structural results concerning the degeneration of the metrics on a family of complete non-compact four-dimensional gradient shrinking Ricci solitons without a uniform entropy lower bound. In the appendix, we provide a detailed accou

Estilos ABNT, Harvard, Vancouver, APA, etc.

16

FOX, JACOB, and BENNY SUDAKOV. "Decompositions into Subgraphs of Small Diameter." Combinatorics, Probability and Computing 19, no. 5-6 (2010): 753–74. http://dx.doi.org/10.1017/s0963548310000040.

Texto completo da fonte

Resumo:

We investigate decompositions of a graph into a small number of low-diameter subgraphs. Let P(n, ε, d) be the smallest k such that every graph G = (V, E) on n vertices has an edge partition E = E0 ∪ E1 ∪ ⋅⋅⋅ ∪ Ek such that |E0| ≤ εn2, and for all 1 ≤ i ≤ k the diameter of the subgraph spanned by Ei is at most d. Using Szemerédi's regularity lemma, Polcyn and Ruciński showed that P(n, ε, 4) is bounded above by a constant depending only on ε. This shows that every dense graph can be partitioned into a small number of ‘small worlds’ provided that a few edges can be ignored. Improving on their res

Estilos ABNT, Harvard, Vancouver, APA, etc.

17

Fischer, Julian, and Stefan Neukamm. "Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems." Archive for Rational Mechanics and Analysis 242, no. 1 (2021): 343–452. http://dx.doi.org/10.1007/s00205-021-01686-9.

Texto completo da fonte

Resumo:

AbstractWe derive optimal-order homogenization rates for random nonlinear elliptic PDEs with monotone nonlinearity in the uniformly elliptic case. More precisely, for a random monotone operator on $$\mathbb {R}^d$$ R d with stationary law (that is spatially homogeneous statistics) and fast decay of correlations on scales larger than the microscale $$\varepsilon >0$$ ε > 0 , we establish homogenization error estimates of the order $$\varepsilon $$ ε in case $$d\geqq 3$$ d ≧ 3 , and of the order $$\varepsilon |\log \varepsilon |^{1/2}$$ ε | log ε | 1 / 2 in case $$d=2$$ d = 2 . Previous re

Estilos ABNT, Harvard, Vancouver, APA, etc.

18

Elshamy, M. "Randomly perturbed vibrations." Journal of Applied Probability 32, no. 02 (1995): 417–28. http://dx.doi.org/10.1017/s0021900200102876.

Texto completo da fonte

Resumo:

Let u ε(t, x) be the position at time t of a point x on a string, where the time variable t varies in an interval I: = [0, T], T is a fixed positive time, and the space variable x varies in an interval J. The string is performing forced vibrations and also under the influence of small stochastic perturbations of intensity ε. We consider two kinds of random perturbations, one in the form of initial white noise, and the other is a nonlinear random forcing which involves the formal derivative of a Brownian sheet. When J has finite endpoints, a Dirichlet boundary condition is imposed for the solut

Estilos ABNT, Harvard, Vancouver, APA, etc.

19

Matache, A. M., and J. M. Melenk. "Two-Scale Regularity for Homogenization Problems with Nonsmooth Fine Scale Geometry." Mathematical Models and Methods in Applied Sciences 13, no. 07 (2003): 1053–80. http://dx.doi.org/10.1142/s0218202503002817.

Texto completo da fonte

Resumo:

Elliptic problems on unbounded domains with periodic coefficients and geometries are analyzed and two-scale regularity results for the solution are given. These are based on a detailed analysis in weighted Sobolev spaces of the so-called unit-cell problem in which the critical parameters (the period ε, the wave number t, and the differentiation order) enter explicitly.

Estilos ABNT, Harvard, Vancouver, APA, etc.

20

Amosov, Andrey, and Nikita Krymov. "On a Nonlinear Initial—Boundary Value Problem with Venttsel Type Boundary Conditions Arizing in Homogenization of Complex Heat Transfer Problems." Mathematics 10, no. 11 (2022): 1890. http://dx.doi.org/10.3390/math10111890.

Texto completo da fonte

Resumo:

We consider a non-standard nonlinear singularly perturbed 2D initial-boundary value problem with Venttsel type boundary conditions, arising in homogenization of radiative-conductive heat transfer problems. We establish existence, uniqueness and regularity of a weak solution v. We obtained estimates for the derivatives Dtv, D12v, D22v, D1D2v with a qualified order in the small parameter ε.

Estilos ABNT, Harvard, Vancouver, APA, etc.

21

Tuan, H. D. "On solution sets of nonconvex Darboux problems and applications to optimal control with endpoint constraints." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 37, no. 3 (1996): 354–91. http://dx.doi.org/10.1017/s0334270000010729.

Texto completo da fonte

Resumo:

AbstractWe prove a continuous version of a relaxation theorem for the nonconvex Darboux problem xlt ε F(t, τ, x, xt, xτ). This result allows us to use Warga's open mapping theorem for deriving necessary conditions in the form of a maximum principle for optimization problems with endpoint constraints. Neither constraint qualification nor regularity assumption is supposed.

Estilos ABNT, Harvard, Vancouver, APA, etc.

22

Uskov, Vladimir I. "Boundary layer phenomenon in a first-order algebraic-differential equation." Russian Universities Reports. Mathematics, no. 144 (2023): 436–46. http://dx.doi.org/10.20310/2686-9667-2023-28-144-436-446.

Texto completo da fonte

Resumo:

The Cauchy problem for the first-order algebraic differential equation is considered A du/dt=(B+εC+ε^2 D)u(t,ε), u(t_0,ε)=u^0 (ε)∈E_1, where A,B,C,D are closed linear operators acting from a Banach space E_1 to a Banach space E_2 with domains everywhere dense in E_1, u^0 is a holomorphic function at the point ε=0, ε is a small parameter, t∈[t_0; t_max]. Such equations describe, in particular, the processes of filtration and moisture transfer, transverse vibrations of plates, vibrations in DNA molecules, phenomena in electromechanical systems, etc. The operator A is the Fredholm operator with z

Estilos ABNT, Harvard, Vancouver, APA, etc.

23

Bourgeois, Laurent, and Lucas Chesnel. "On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 2 (2020): 493–529. http://dx.doi.org/10.1051/m2an/2019073.

Texto completo da fonte

Resumo:

We are interested in the classical ill-posed Cauchy problem for the Laplace equation. One method to approximate the solution associated with compatible data consists in considering a family of regularized well-posed problems depending on a small parameter ε > 0. In this context, in order to prove convergence of finite elements methods, it is necessary to get regularity results of the solutions to these regularized problems which hold uniformly in ε. In the present work, we obtain these results in smooth domains and in 2D polygonal geometries. In presence of corners, due to the particular st

Estilos ABNT, Harvard, Vancouver, APA, etc.

24

Zhang, Hui. "A Global Regularity Result for the 2D Generalized Magneto-Micropolar Equations." Journal of Function Spaces 2022 (February 24, 2022): 1–6. http://dx.doi.org/10.1155/2022/1501851.

Texto completo da fonte

Resumo:

In this paper, we proved the global (in time) regularity for smooth solution to the 2D generalized magneto-micropolar equations with zero viscosity. When there is no kinematic viscosity in the momentum equation, it is difficult to examine the bounds on the any derivatives of the velocity J ε u L 2 . In order to overcome the main obstacle, we find a new unknown quantity which is by combining the vorticity and the microrotation angular velocity; the structure of the system including the combined quantity obeys a Beale–Kato–Majda criterion. Moreover, the maximal regularity of parabolic equations

Estilos ABNT, Harvard, Vancouver, APA, etc.

25

Hai, Dang Dinh, and Dang Dinh Ang. "Regularisation of Abel's integral equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 107, no. 1-2 (1987): 165–68. http://dx.doi.org/10.1017/s0308210500029425.

Texto completo da fonte

Resumo:

SynopsisConsider the Abel integral operatorwhere 0 < α < 1. Suppose u is in H1(0, 1) of H1-norm ≦E, and f is an element of L2(0, 1) such that ∥Au – f∥L−2 < ε. We give a regularised approximate solution uβ(f) of the equationwhich satisfiesand can be computed simply by performing some integrations. The preceding error estimate can be sharpened by strengthening regularity conditions on u

Estilos ABNT, Harvard, Vancouver, APA, etc.

26

Nesvidomin, Andrii, Serhii Pylypaka, Tetiana Volina, Irina Rybenko, and Alla Rebrii. "Analytical connection between the Frenet trihedron of a direct curve and the Darboux trihedron of the same curve on the surface." Technology audit and production reserves 4, no. 2(78) (2024): 54–59. http://dx.doi.org/10.15587/2706-5448.2024.310524.

Texto completo da fonte

Resumo:

Frenet and Darboux trihedrons are the objects of research. At the current point of the direction curve of the Frenet trihedron, three mutually perpendicular unit orthogonal vectors can be uniquely constructed. The orthogonal vector of the tangent is directed along the tangent to the curve at the current point. The orthogonal vector of the main normal is located in the plane, which is formed by three points of the curve on different sides from the current one when they are maximally close to the current point. It is directed to the center of the curvature of the curve. The orthogonal vector of

Estilos ABNT, Harvard, Vancouver, APA, etc.

27

Arutyunov, Aram V., Dmitry Yu Karamzin, and Fernando Lobo Pereira. "Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints." Axioms 11, no. 2 (2022): 40. http://dx.doi.org/10.3390/axioms11020040.

Texto completo da fonte

Resumo:

This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption, which corresponds to the full-rank condition of the associated controllability matrix, a simple proof of the second-order necessary optimality conditions based on the Robinson stability theorem is derived. The main novelty of this approach compared to the known results in this area is that only a local regularity with respect to the mixed constraints, that is, a regularity in an ε-tube about the minimizer, is required instead of the conven

Estilos ABNT, Harvard, Vancouver, APA, etc.

28

Cai, Yongyong, and Yan Wang. "A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 2 (2018): 543–66. http://dx.doi.org/10.1051/m2an/2018015.

Texto completo da fonte

Resumo:

A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analyzed for the nonlinear Dirac equation (NLDE), which involves a dimensionless parameter ε ∈ (0, 1] inversely proportional to the speed of light. The solution to the NLDE propagates waves with wavelength O (ε2) and O (1) in time and space, respectively. In the nonrelativistic regime,i.e., 0 < ε ≪ 1, the rapid temporal oscillation causes significantly numerical burdens, making it quite challenging for designing and analyzing numerical methods with uniform error bounds inε ∈ (0, 1]. The key idea f

Estilos ABNT, Harvard, Vancouver, APA, etc.

29

MUNTEAN, A., and T. L. VAN NOORDEN. "Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity." European Journal of Applied Mathematics 24, no. 5 (2013): 657–77. http://dx.doi.org/10.1017/s0956792513000090.

Texto completo da fonte

Resumo:

We prove an upper bound for the convergence rate of the homogenization limit ε → 0 for a linear transmission problem for a advection–diffusion(–reaction) system posed in areas with low and high diffusivity, where ε is a suitable scale parameter. In this way we rigorously justify the formal homogenization asymptotics obtained in [37] (van Noorden, T. and Muntean, A. (2011) Homogenization of a locally-periodic medium with areas of low and high diffusivity.Eur. J. Appl. Math.22, 493–516). We do this by providing a corrector estimate. The main ingredients for the proof of the correctors include in

Estilos ABNT, Harvard, Vancouver, APA, etc.

30

Favini, Angelo, Ciprian G. Gal, Gisèle Ruiz Goldstein, Jerome A. Goldstein, and Silvia Romanelli. "The non-autonomous wave equation with general Wentzell boundary conditions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 2 (2005): 317–29. http://dx.doi.org/10.1017/s0308210500003905.

Texto completo da fonte

Resumo:

We study the problem of the well-posedness for the abstract Cauchy problem associated to the non-autonomous one-dimensional wave equation utt = A(t)u with general Wentzell boundary conditions Here A(t)u := (a(x, t)ux)x, a(x, t) ≥ ε > 0 in [0, 1] × [0, + ∞) and βj(t) > 0, γj(t) ≥ 0, (γ0(t), γ1(t)) ≠ (0,0). Under suitable regularity conditions on a, βj, γj we prove the well-posedness in a suitable (energy) Hilbert space

Estilos ABNT, Harvard, Vancouver, APA, etc.

31

Chrysafinos, Konstantinos. "Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 2 (2019): 551–83. http://dx.doi.org/10.1051/m2an/2018071.

Texto completo da fonte

Resumo:

Fully-discrete approximations of the Allen–Cahn equation are considered. In particular, we consider schemes of arbitrary order based on a discontinuous Galerkin (in time) approach combined with standard conforming finite elements (in space). We prove that these schemes are unconditionally stable under minimal regularity assumptions on the given data. We also prove best approximation a-priori error estimates, with constants depending polynomially upon (1/ε) by circumventing Gronwall Lemma arguments. The key feature of our approach is a carefully constructed duality argument, combined with a boo

Estilos ABNT, Harvard, Vancouver, APA, etc.

32

MÁRMOL, MACARENA GÓMEZ, and FRANCISCO ORTEGÓN GALLEGO. "EXISTENCE OF SOLUTION TO NONLINEAR ELLIPTIC SYSTEMS ARISING IN TURBULENCE MODELLING." Mathematical Models and Methods in Applied Sciences 10, no. 02 (2000): 247–60. http://dx.doi.org/10.1142/s021820250000015x.

Texto completo da fonte

Resumo:

We study some nonlinear elliptic systems governing the steady-state of a two-equation turbulence model that has been derived from the so-called k–ε model. Two kinds of problems are considered: in the first one, we drop out transport terms and we deduce the existence of a solution for [Formula: see text]; in the second one we take into account all transport terms; in this case, the existence result holds for N=2 or 3. Positivity and [Formula: see text]-regularity of the scalar quantities are also shown here.

Estilos ABNT, Harvard, Vancouver, APA, etc.

33

Elshamy, M. "Randomly perturbed vibrations." Journal of Applied Probability 32, no. 2 (1995): 417–28. http://dx.doi.org/10.2307/3215297.

Texto completo da fonte

Resumo:

Let uε(t, x) be the position at time t of a point x on a string, where the time variable t varies in an interval I: = [0, T], T is a fixed positive time, and the space variable x varies in an interval J. The string is performing forced vibrations and also under the influence of small stochastic perturbations of intensity ε. We consider two kinds of random perturbations, one in the form of initial white noise, and the other is a nonlinear random forcing which involves the formal derivative of a Brownian sheet. When J has finite endpoints, a Dirichlet boundary condition is imposed for the soluti

Estilos ABNT, Harvard, Vancouver, APA, etc.

34

Pratelli, Aldo, та Giorgio Saracco. "The ε - εβ Property in the Isoperimetric Problem with Double Density, and the Regularity of Isoperimetric Sets". Advanced Nonlinear Studies 20, № 3 (2020): 539–55. http://dx.doi.org/10.1515/ans-2020-2074.

Texto completo da fonte

Resumo:

AbstractWe prove the validity of the {\varepsilon-\varepsilon^{\beta}} property in the isoperimetric problem with double density, generalising the known properties for the case of single density. As a consequence, we derive regularity for isoperimetric sets.

Estilos ABNT, Harvard, Vancouver, APA, etc.

35

Ricco, Laura, Saverio Russo, Giustino Orefice та Fernando Riva. "Anionic Poly(ε-caprolactam): Relationships among Conditions of Synthesis, Chain Regularity, Reticular Order, and Polymorphism". Macromolecules 32, № 23 (1999): 7726–31. http://dx.doi.org/10.1021/ma9909004.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

36

Zhang, Jie, and Wenjun Liu. "The horizontal magnetic primitive equations approximation of the anisotropic MHD equations in a thin 3D domain." Nonlinearity 37, no. 7 (2024): 075024. http://dx.doi.org/10.1088/1361-6544/ad5131.

Texto completo da fonte

Resumo:

Abstract In this paper, we give a rigorous justification for the derivation of the primitive equations with only horizontal viscosity and magnetic diffusivity (PEHM) as the small aspect ratio limit of the incompressible three-dimensional scaled horizontal viscous magnetohydrodynamics (SHMHD) equations. Choosing an aspect ratio parameter ε ∈ ( 0 , ∞ ) , we consider the case that if the orders of the horizontal and vertical viscous coefficients µ and ν are μ = O ( 1 ) and ν = O ( ε α ) , and the orders of magnetic diffusion coefficients κ and σ are κ = O ( 1 ) and σ = O ( ε α ) , with α > 2,

Estilos ABNT, Harvard, Vancouver, APA, etc.

37

Harfash, Akil, and Ghufran A. Al-Musawi. "Global existence of a pair of coupled Cahn-Hilliard equations with nondegenerate mobility and logarithmic potential." Gulf Journal of Mathematics 16, no. 1 (2024): 9–35. http://dx.doi.org/10.56947/gjom.v16i1.1368.

Texto completo da fonte

Resumo:

We conducted a mathematical investigation on a system of interconnected Cahn-Hilliard equations featuring a logarithmic potential, nondegenerate mobility, and homogeneous Neumann boundary conditions. This system emerges from a model depicting the phase separation of a binary liquid mixture in a thin film. Assuming certain conditions on the initial data, we successfully established the existence, uniqueness, and stability estimates for the weak solution. Our approach involved initially replacing the logarithmic potential with a smooth counterpart, resulting in the regularization of the original

Estilos ABNT, Harvard, Vancouver, APA, etc.

38

Haghighi, Hassan, та Mohammad Mosakhani. "Containment Problem for Quasi Star Configurations of Points in ℙ2". Algebra Colloquium 25, № 04 (2018): 661–70. http://dx.doi.org/10.1142/s1005386718000469.

Texto completo da fonte

Resumo:

In this paper, the containment problem for the defining ideal of a special type of zero-dimensional subscheme of ℙ2, the so-called quasi star configuration, is investigated. Some sharp bounds for the resurgence of these types of ideals are given. As an application of this result, for every real number [Formula: see text], we construct an infinite family of homogeneous radical ideals of points in 𝕂[ℙ2] such that their resurgences lie in the interval [2−ε, 2). Moreover, the Castelnuovo-Mumford regularity of all ordinary powers of defining ideal of quasi star configurations are determined. In par

Estilos ABNT, Harvard, Vancouver, APA, etc.

39

Zhang, Yu Hui, and Xian Min Zhang. "The Study of Large Vibration Compaction on Soil-Stone Mixture Poisson′s Ratio with Wave Velocity." Advanced Materials Research 446-449 (January 2012): 1497–501. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.1497.

Texto completo da fonte

Resumo:

The equipment of large vibration compaction was designed and adopted to simulate the changes of mechanical properties of mixture, by large laboratory vibration compaction test under the condition of different water content and different soil-stone proportion with sandy soil, silt soil and low liquid-limit clay. The deformation capability in each direction of foundation mixture in different compactness was studied by analyzing poisson′s ratio. The change law of poisson′s ratio, shear-wave velocity, longitudinal wave velocity of mixture in different compaction degree were revealed. Model of corr

Estilos ABNT, Harvard, Vancouver, APA, etc.

40

Fernández-Real, Xavier, and Joaquim Serra. "Regularity of minimal surfaces with lower-dimensional obstacles." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 767 (2020): 37–75. http://dx.doi.org/10.1515/crelle-2019-0035.

Texto completo da fonte

Resumo:

AbstractWe study the Plateau problem with a lower-dimensional obstacle in {\mathbb{R}^{n}}. Intuitively, in {\mathbb{R}^{3}} this corresponds to a soap film (spanning a given contour) that is pushed from below by a “vertical” 2D half-space (or some smooth deformation of it). We establish almost optimal {C^{1,\frac{1}{2}-}} estimates for the solutions near points on the free boundary of the contact set, in any dimension {n\geq 2}. The {C^{1,\frac{1}{2}-}} estimates follow from an ε-regularity result for minimal surfaces with thin obstacles in the spirit of the De Giorgi’s improvement of flatnes

Estilos ABNT, Harvard, Vancouver, APA, etc.

41

Yan, Ya Guang. "Influence of Vented Tunnel Hood on Aerodynamic Characteristics." Applied Mechanics and Materials 256-259 (December 2012): 1340–43. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.1340.

Texto completo da fonte

Resumo:

On the basis of the three-dimensional ,unsteady-state , viscous N-S Equation and k-ε two equation turbulence model , the simulation calculation is made with the finite volume method on the aerodynamic effect of a high-speed train passing a tunnel.The numerical computation simulates the pressure change in the tunnel,analysises regularity of the the initial compression wave and the pressure gradient wave,compares the mitigation effect of the two hoods on the pressure gradient.The following conclusions have been drawn from the research: The amplitude of the initial compression wave is not signifi

Estilos ABNT, Harvard, Vancouver, APA, etc.

42

Herrmann, L., and C. Schwab. "Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 5 (2019): 1507–52. http://dx.doi.org/10.1051/m2an/2019016.

Texto completo da fonte

Resumo:

We analyze the convergence rate of a multilevel quasi-Monte Carlo (MLQMC) Finite Element Method (FEM) for a scalar diffusion equation with log-Gaussian, isotropic coefficients in a bounded, polytopal domain D ⊂ ℝd. The multilevel algorithm QL* which we analyze here was first proposed, in the case of parametric PDEs with sequences of independent, uniformly distributed parameters in Kuo et al. (Found. Comput. Math. 15 (2015) 411–449). The random coefficient is assumed to admit a representation with locally supported coefficient functions, as arise for example in spline- or multiresolution repres

Estilos ABNT, Harvard, Vancouver, APA, etc.

43

Briane, Marc. "Homogenization of the Torsion Problem and the Neumann Problem in Nonregular Periodically Perforated Domains." Mathematical Models and Methods in Applied Sciences 07, no. 06 (1997): 847–70. http://dx.doi.org/10.1142/s0218202597000438.

Texto completo da fonte

Resumo:

This paper is devoted to the homogenization of the torsion problem (or stiff problem) and the Neumann problem (or soft problem) for second-order elliptic but not necessarily symmetric linear operators set in a bounded open subset Ω of ℝN. More precisely, we study the asymptotic behavior of the equations [Formula: see text] in Ω with ε → 0, where Sε is a closed subset of Ω, which represents the set of the inclusions for the stiff problem or the holes for the soft one, and Ωε = Ω \ Sε. The stiff problem corresponds to δ → + ∞ and ν = 0, the soft one to δ → 0 and ν = 1. We prove a homogenization

Estilos ABNT, Harvard, Vancouver, APA, etc.

44

Sugiyama, Yoshie. "ε-Regularity theorem and its application to the blow-up solutions of Keller–Segel systems in higher dimensions". Journal of Mathematical Analysis and Applications 364, № 1 (2010): 51–70. http://dx.doi.org/10.1016/j.jmaa.2009.11.019.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

45

Pinto, Martin. "A Direct and Accurate Adaptive Semi-Lagrangian Scheme for the Vlasov-Poisson Equation." International Journal of Applied Mathematics and Computer Science 17, no. 3 (2007): 351–59. http://dx.doi.org/10.2478/v10006-007-0029-9.

Texto completo da fonte

Resumo:

A Direct and Accurate Adaptive Semi-Lagrangian Scheme for the Vlasov-Poisson EquationThis article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)-dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. This article focuses on a key feature of our method, which is a new algorithm to transport multiscal

Estilos ABNT, Harvard, Vancouver, APA, etc.

46

LUCE, ROBERT, CÉCILE POUTOUS, and JEAN-MARIE THOMAS. "WEAKENED CONDITIONS OF ADMISSIBILITY OF SURFACE FORCES APPLIED TO LINEARLY ELASTIC MEMBRANE SHELLS." Analysis and Applications 06, no. 03 (2008): 247–67. http://dx.doi.org/10.1142/s0219530508001158.

Texto completo da fonte

Resumo:

We consider a family of linearly elastic shells of the first kind (as defined in [2]), also known as non inhibited pure bending shells [7]. This family is indexed by the half-thickness ε. When ε approaches zero, the averages across the thickness of the shell of the covariant components of the displacement of the points of the shell converge strongly towards the solution of a "2D generalized membrane shell problem" provided the applied forces satisfy admissibility conditions [1,3]. The identification of the admissible applied forces usually requires delicate analysis. In the first part of this

Estilos ABNT, Harvard, Vancouver, APA, etc.

47

Du, Yihong, Zongming Guo та Kelei Wang. "Monotonicity formula and $$\varepsilon $$ ε -regularity of stable solutions to supercritical problems and applications to finite Morse index solutions". Calculus of Variations and Partial Differential Equations 50, № 3-4 (2013): 615–38. http://dx.doi.org/10.1007/s00526-013-0649-x.

Texto completo da fonte

Estilos ABNT, Harvard, Vancouver, APA, etc.

48

Bir, Bikram, Deepjyoti Goswami, and Amiya K. Pani. "Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data." Computational Methods in Applied Mathematics 22, no. 2 (2022): 297–325. http://dx.doi.org/10.1515/cmam-2022-0012.

Texto completo da fonte

Resumo:

Abstract In this paper, a penalty formulation is proposed and analyzed in both continuous and finite element setups, for the two-dimensional Oldroyd model of order one, when the initial velocity is in 𝐇 0 1 {\mathbf{H}_{0}^{1}} . New regularity results which are valid uniformly in time as t → ∞ {t\to\infty} and in the penalty parameter ε as ε → 0 {\varepsilon\to 0} are derived for the solution of the penalized problem. Then, based on conforming finite elements to discretize the spatial variables and keeping temporal variable continuous, a semidiscrete problem is discussed and a uniform-in-time

Estilos ABNT, Harvard, Vancouver, APA, etc.

49

Yan, Ya Guang, Qing Shan Yang, and Jian Zhang. "Aerodynamic Comfort Analysis of High-Speed Trains Passing each other at the same Speed through a Tunnel." Applied Mechanics and Materials 90-93 (September 2011): 2147–51. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.2147.

Texto completo da fonte

Resumo:

On the basis of the three-dimensional,compressible,unsteady-state,viscous N-S Equation and k-ε turbulence model,the simulation calculation is made with the finite volume method on the aerodynamic effect of two high-speed trains passing each other at the same speed through a tunnel,simulating the pressure change,analysising regularity of the pressure,researching comfort in the train.The following conclusions have been drawn from research:The maximum of transient pressure is concerned with the meeting point,when the two high-speed trains meet in tunnel.When the length,the speed and the sealing f

Estilos ABNT, Harvard, Vancouver, APA, etc.

50

Antonopoulou, Dimitra C. "Higher moments for the stochastic Cahn–Hilliard equation with multiplicative Fourier noise." Nonlinearity 36, no. 2 (2023): 1053–81. http://dx.doi.org/10.1088/1361-6544/acadc9.

Texto completo da fonte

Resumo:

Abstract We consider in dimensions d = 1 , 2 , 3 the ɛ-dependent stochastic Cahn–Hilliard equation with a multiplicative and sufficiently regular in space infinite dimensional Fourier noise with strength of order , γ > 0. The initial condition is non-layered and independent from ɛ. Under general assumptions on the noise diffusion σ, we prove moment estimates in H 1 (and in L ∞ when d = 1). Higher H 2 regularity p-moment estimates are derived when σ is bounded, yielding as well space Hölder and L ∞ bounds for d = 2 , 3 , and path a.s. continuity in space. All appearing constants are expresse

Estilos ABNT, Harvard, Vancouver, APA, etc.

Oferecemos descontos em todos os planos premium para autores cujas obras estão incluídas em seleções literárias temáticas. Contate-nos para obter um código promocional único!