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Dissertations / Theses on the topic 'Burgers equation'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Correia, Joaquim, Costa Fernando da, Sackmone Sirisack, and Khankham Vongsavang. "Burgers' Equation and Some Applications." Master's thesis, Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos, 2017. http://hdl.handle.net/10174/26615.

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In this thesis, I present Burgers' equation and some of its applications. I consider the inviscid and the viscid Burgers' equations and present different analytical methods for their study: the Method of Characteristics for the inviscid case, and the Cole-Hopf Transformation for theviscid one. Two applications of Burgers' equations are given: one in simple models of Traffic Flow (which have been introduced independently by Lighthill-Whitham and Richards) and another in Coagulation theory (in which we use Laplace Transform to obtain Burgers' equations from the original coagulation integro-diffe

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2

Kang, Sungkwon. "A control problem for Burgers' equation." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/37223.

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Burgers' equation is a one-dimensional simple model for convection-diffusion phenomena such as shock waves, supersonic flow about airfoils, traffic flows, acoustic transmission, etc. For high Reynolds number, the open-loop system (no control) produces steep gradients due to the nonlinear nature of the convection. The steep gradients are stabilized by feedback control laws. In this phase, sufficient conditions for the control input functions and the location of sensors are obtained. Also, explicit exponential decay rates for open-loop and closed-loop systems are obtained. Numerical exper

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3

Hu, Yiming. "Topics on the stochastic Burgers’ equation." Case Western Reserve University School of Graduate Studies / OhioLINK, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=case1057859153.

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4

Pugh, Steven M. "Finite element approximations of Burgers' equation." Thesis, This resource online, 1995. http://scholar.lib.vt.edu/theses/available/etd-12052009-020403/.

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5

Sømme, Øystein. "The Fractal Burgers Equation - Theory and Numerics." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19333.

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We study the Cauchy problem for the 1-D fractal Burgers equation, which is a non-linear and non-local scalar conservation law used to for instance model overdriven detonation in gases. Properties of classical solutions of this problem are studied using techniques mainly developed for the study of entropy solutions. With this approach we prove several a-priori estimates, using techniques such as Kruzkow doubling of variables. The main theoretical result of this study is a L1-type contraction estimate, where we show the contraction in time of the positive part of solutions of the fractal Burgers

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6

Gürkan, Zeynep Nilhan Pashaev Oktay. "Integrable vortex dynamics and complex burgers' equation/." [s.l.]: [s.n.], 2005. http://library.iyte.edu.tr/tezler/master/matematik/T000394.pdf.

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Thesis (Master)--İzmir Institute Of Technology, İzmir, 2005<br>Keywords: Vortex, burgers equation, dynamical systems, integrable systems, Euler equations. Includes bibliographical references (leaves. 92-97).

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7

Guzman, Sobarzo Pamela Beatriz. "Dispersive regularisations for the inviscid Burgers equation." Thesis, The University of Sydney, 2012. http://hdl.handle.net/2123/8862.

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We study centred second order in time and space finite difference methods of the inviscid Burgers equation, deriving a more general numerical discretisation scheme, than the one introduced in G.A. Gottwald, 2007, for this equation. In particular, using backward error analysis we derive the modified equation associated with the numerical scheme. We also automatise the search for particular schemes, allowing us to study a whole class of numerical discretisations and tune the parameters to obtain a wide range of explicit and implicit numerical schemes of interest. We determine conditions for our

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8

Massa, Kenneth L. "Control of Burgers' Equation With Mixed Boundary Conditions." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36681.

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We consider the problems of simulation and control for Burgers' equation with mixed boundary conditions. We first conduct numerical experiments to test the convergence and stability of two standard finite element schemes for various Robin boundary conditions and a variety of Reynolds numbers. These schemes are used to compute LQR feedback controllers for Burgers' equation with boundary control. Numerical studies of these feedback control laws are used to evaluate the performance and practicality of this approach to boundary control of non-linear systems.<br>Master of Science

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9

Reasons, Scott. "Singularities of the stochastic Burgers equation with vorticity." Thesis, Swansea University, 2004. https://cronfa.swan.ac.uk/Record/cronfa43010.

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10

Shedlock, Andrew James. "A Numerical Method for solving the Periodic Burgers' Equation through a Stochastic Differential Equation." Thesis, Virginia Tech, 2021. http://hdl.handle.net/10919/103947.

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The Burgers equation, and related partial differential equations (PDEs), can be numerically challenging for small values of the viscosity parameter. For example, these equations can develop discontinuous solutions (or solutions with large gradients) from smooth initial data. Aside from numerical stability issues, standard numerical methods can also give rise to spurious oscillations near these discontinuities. In this study, we consider an equivalent form of the Burgers equation given by Constantin and Iyer, whose solution can be written as the expected value of a stochastic differential eq

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11

Biryuk, Andrei. "Estimates for spatial derivatives of solutions for quasilinear parabolic equations with small viscosity." Thesis, Heriot-Watt University, 2001. http://hdl.handle.net/10399/494.

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12

Voonna, Kiran. "Development of discontinuous galerkin method for 1-D inviscid burgers equation." ScholarWorks@UNO, 2003. http://louisdl.louislibraries.org/u?/NOD,75.

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Thesis (M.S.)--University of New Orleans, 2003.<br>Title from electronic submission form. "A thesis ... in partial fulfillment of the requirements for the degree of Master of Science in the Department of Mechanical Engineering"--Thesis t.p. Vita. Includes bibliographical references.

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13

Kramer, Boris. "Model Reduction of the Coupled Burgers Equation in Conservation Form." Thesis, Virginia Tech, 2011. http://hdl.handle.net/10919/34791.

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This thesis is a numerical study of the coupled Burgers equation. The coupled Burgers equa- tion is motivated by the Boussinesq equations that are often used to model the thermal-fluid dynamics of air in buildings. We apply Finite Element Methods to the coupled Burgers equation and conduct several numerical experiments. Based on these results, the Group Finite Element method (GFE) appears to be more stable than the standard Finite Element Method. The design and implementation of controllers heavily relies on rapid solutions to complex models such as the Boussinesq equations. Thus, we further e

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14

Nguyen, Vinh Q. "A Numerical Study of Burgers' Equation With Robin Boundary Conditions." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/31285.

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This thesis examines the numerical solution to Burgers' equation on a finite spatial domain with various boundary conditions. We first conduct experiments to confirm the numerical solutions observed by other researchers for Neumann boundary conditions. Then we consider the case where the non-homogeneous Robin boundary conditions approach non-homogeneous Neumann conditions. Finally we numerically approximate the steady state solutions to Burgers' equation with both the homogeneous and non-homogeneous Robin boundary conditions.<br>Master of Science

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15

Smith, Lyle C. III. "Finite Element Approximations of Burgers' Equation with Robin's Boundary Conditions." Thesis, Virginia Tech, 1997. http://hdl.handle.net/10919/36958.

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This work is a numerical study of Burgersâ equation with Robinâ s boundary conditions. The goal is to determine the behavior of the solutions in the limiting cases of Dirichlet and Neumann boundary conditions. We develop and test two separate finite element and Galerkin schemes. The Galerkin/Conservation method is shown to give better results and is then used to compute the response as the Robinâ s Boundary conditions approach both the Dirichlet and Neumann boundary conditions. Burgersâ equation is treated as a perturbation of the linear heat equation with the appropriate realistic const

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16

Smith, Lyle C. "Finite element approximations of Burgers' equation with Robin's boundary conditions." [Blacksburg, Va. : University Libraries, Virginia Polytechnic Institute and State University, 1997. http://scholar.lib.vt.edu/theses/available/etd-7697-194740.

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17

Miller, Joel. "Rates of Convergence to Self-Similar Solutions of Burgers' Equation." Scholarship @ Claremont, 2000. https://scholarship.claremont.edu/hmc_theses/123.

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Burgers’ Equation ut + cuux = νuxx is a nonlinear partial differential equation which arises in models of traffic and fluid flow. It is perhaps the simplest equation describing waves under the influence of diffusion. We consider the large time behavior of solutions with exponentially localized initial conditions, analyzing the rate of convergence to a known self similar single-hump solution. We use the Cole-Hopf Transformation to convert the problem into a heat equation problem with exponentially localized initial conditions. The solution to this problem converges to a Gaussian. We then find a

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18

Camacho, Victor. "Analyzing Traveling Waves in a Viscoelastic Generalization of Burgers' Equation." Scholarship @ Claremont, 2007. https://scholarship.claremont.edu/hmc_theses/193.

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We analyze a pair of nonlinear PDEs describing viscoelastic fluid flow in one dimension. We give a summary of the physical derivation and nondimensionlize the PDE system. Based on the boundary conditions and parameters, we are able to classify three different categories of traveling wave solutions, consistent with the results in [?]. We extend this work by analyzing the stability of the traveling waves. We thoroughly describe the numerical schemes and software program, VISCO, that were designed specifically to analyze the model we study in this paper. Our simulations lead us to conjecture that

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19

Xie, Wenzheng. "A sharp inequality for Poisson's equation in arbitrary domains and its applications to Burgers' equation." Thesis, University of British Columbia, 1991. http://hdl.handle.net/2429/31859.

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Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] denote the completion of [formula omitted] in the Dirichlet norm || ∇•||. The pointwise bound [forumula omitted] is established for all functions [formula omitted] with Δ u є L² (Ω). The constant [formula omitted] is shown to be the best possible. Previously, inequalities of this type were proven only for bounded smooth domains or convex domains, with constants depending on the regularity of the boundary. A new method is employed to obtain this sharp inequality. The key idea is to estimat

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20

Davidson, Jonathan. "Dynamics of semi-discretised fluid flow." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364471.

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21

Nilsen, Christopher. "Fractal modelling of turbulent flows : Subgrid modelling for the Burgers equation." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for energi- og prosessteknikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13916.

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The stochastically forced Burgers equation shares some of the same characteristics as the three-dimensional Navier-Stokes equations. Because of this it is sometimes used as a model equation for turbulence. Simulating the stochastically forced Burgers equation with low resolution can be considered as a one dimensional model of a three-dimensional large eddy simulation, and can be used to evaluate subgrid models. Modified versions of subgrid models using the fractal interpolation technique are presented here and tested in low resolution simulations of the stochastically forced Burgers equations.

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22

Reynolds, Christopher. "On the polynomial swallowtail and cusp singularities of stochastic Burgers equation." Thesis, Swansea University, 2002. https://cronfa.swan.ac.uk/Record/cronfa43096.

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This thesis is concerned with singularities of the stochastic heat and Burgers equations. We study the classification of caustics (shockwaves) for Burgers equation and the level surfaces of the corresponding heat equation. Particular attention is paid to two examples of a two dimensional caustic, namely the semicubical parabolic cusp and the polynomial swallowtail. These examples, whose names have been adopted in recognition of Thom's list of seven elementary catastrophes, may be viewed as special cases of the larger class of initial functions <i>S<sub>0</sub></i>(<i>x<sub>0</sub></i>) = <i>f

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23

Jarvis, Christopher Hunter. "Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition." Thesis, Virginia Tech, 2012. http://hdl.handle.net/10919/31580.

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In this thesis we conduct a numerical study of the 1D viscous Burgers' equation and several Reduced Order Models (ROMs) over a range of parameter values. This study is motivated by the need for robust reduced order models that can be used both for design and control. Thus the model should first, allow for selection of optimal parameter values in a trade space and second, identify impacts from changes of parameter values that occur during development, production and sustainment of the designs. To facilitate this study we apply a Finite Element Method (FEM) and where applicable, the Group Fini

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24

Boritchev, Alexandre. "Equation de Burgers généralisée à force aléatoire et à viscosité petite." Palaiseau, Ecole polytechnique, 2012. https://pastel.hal.science/docs/00/73/97/91/PDF/ThA_se_fichier_principal.pdf.

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Cette thèse traite du comportement des solutions u de l'équation de Burgers généralisée sur le cercle: u_t+f'(u)u_x=\nu u_{xx}+\eta,\ x \in S^1=\R/\Z. Ici, f est lisse, fortement convexe et satisfait certaines conditions de croissance. La constante 0<\nu << 1 correspond à un coefficient de viscosité. Nous considérons le cas où \eta=0, ainsi que le cas où \eta est une force aléatoire, lisse en x et peu régulière (de type "kick" ou bruit blanc) en t. Nous obtenons des estimations sur les normes de Sobolev de u moyennées en temps et en probabilité de la forme C \nu^{-\delta}, \delta >

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25

Huang, Guowei. "Asymptotic properties of solutions of a KdV-Burgers equation with localized dissipation." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/40133.

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We study the Korteweg-de Vries-Burgers equation. With a deep investigation into the spectral and smoothing properties of the linearized system, it is shown by applying Banach Contraction Principle and Gronwall's Inequality to the integral equation based on the variation of parameters formula and explicit representation of the operator semigroup associated with the linearized equation that, under appropriate assumption appropriate assumption on initial states w(x, 0), the nonlinear system is well-posed and its solutions decay exponentially to the mean value of the initial state in H1(O, 1) as t

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26

Soares, Júnior César Alves 1986. "Simetrias de Lie da equação de Burgers generalizada." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307217.

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Orientador: Igor Leite Freire<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-19T07:51:21Z (GMT). No. of bitstreams: 1 Soares_JuniorCesarAlves_M.pdf: 448504 bytes, checksum: 3bdbb23b41bf8a05b373b9117cd9aa9b (MD5) Previous issue date: 2011<br>Resumo: Neste trabalho, é estudada uma generalização da equação de Burgers do ponto de vista da teoria de simetrias de Lie<br>Abstract: In this work, a generalization of Burgers equation is studied from the point of view of Lie point symmetr

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27

Ménard, Richard. "Kalman filtering of Burgers' equation and its application to atmospheric data assimilation." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=41712.

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A study of Kalman filtering in atmospheric data assimilation is presented. Our research aims at an understanding of the physical and statistical mechanisms as well as the principles underlying its application to atmospheric data assimilation. Both the continuous and the discrete formulations of the filter were considered. Using nonlinear advection diffusion dynamics, a number of aspects in data assimilation were addressed, often by exploring the parameter space or by performing Monte Carlo simulations. The filtering properties, the spatial regularity and indirect inference about the model erro

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28

Tyler, Jonathan. "Analysis and implementation of high-order compact finite difference schemes /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd2177.pdf.

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29

Neate, Andrew. "A one dimensional analysis of singularities of the d-dimensional stochastic Burgers equation." Thesis, Swansea University, 2005. https://cronfa.swan.ac.uk/Record/cronfa42800.

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This thesis presents a one dimensional analysis of the singularities of the d- dimensional stochastic Burgers equation using the 'reduced action function'. In particular, we investigate the geometry of the caustic, the Maxwell set and the Hamilton-Jacobi level surfaces, and describe some turbulent phenomena. Chapter 1 begins by introducing the stochastic Burgers equation and its related Stratonovich heat equation. Some earlier geometric results of Davies, Truman and Zhao are presented together with the derivation of the reduced action function. In Chapter 2 we present a complete analysis of th

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30

Punekar, Jyothika Narasimha. "Numerical simulation of nonlinear random noise." Thesis, University of Southampton, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243151.

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31

Pettersson, Per. "Numerical Analysis of Burgers' Equation with Uncertain Boundary Conditions using the Stochastic Galerkin Method." Thesis, Uppsala University, Department of Information Technology, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-110906.

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<p>Burgers' equation with stochastic initial and boundary conditions is investigated by a polynomial chaos expansion approach where the solution is represented as a series of stochastic, orthogonal polynomials. The analysis of wellposedness for the stochastic Burgers' equation follows the pattern of that of the deterministic Burgers' equation.</p><p>We use dissipation and spatial derivative operators satisfying the summation by parts property and weak boundary conditions to ensure stability. Similar to the deterministic case, the time step for hyperbolic stochastic problems solved with explici

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32

Steward, Jeff. "The solution of a Burgers' equation inverse problem with reduced-order modeling proper orthogonal decomposition." Tallahassee, Florida : Florida State University, 2009. http://etd.lib.fsu.edu/theses/available/etd-07062009-230217.

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Thesis (M.S.)--Florida State University, 2009.<br>Advisor: Ionel M. Navon, Florida State University, College of Arts and Sciences, Dept. of Scientific Computing. Title and description from dissertation home page (viewed on Nov. 17, 2009). Document formatted into pages; contains ix, 67 pages. Includes bibliographical references.

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33

Feng, Zhaosheng. "Some results on the 1D linear wave equation with van der Pol type nonlinear boundary conditionsand the Korteweg-de Vries-Burgers equation." Diss., Texas A&M University, 2004. http://hdl.handle.net/1969.1/1078.

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Many physical phenomena can be described by nonlinear models. The last few decades have seen an enormous growth of the applicability of nonlinear models and of the development of related nonlinear concepts. This has been driven by modern computer power as well as by the discovery of new mathematical techniques, which include two contrasting themes: (i) the theory of dynamical systems, most popularly associated with the study of chaos, and (ii) the theory of integrable systems associated, among other things, with the study of solitons. In this dissertation, we study two nonlinear models. One i

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34

Boritchev, Alexandre. "Equation de Burgers g en eralis ée a force al éatoire et a viscosit é petite." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00739791.

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Cette thèse traite du comportement des solutions u de l'équation de Burgers généralisée sur le cercle: u_t+f'(u)u_x=\nu u_{xx}+\eta,\ x \in S^1=\R/\Z. Ici, f est lisse, fortement convexe et satisfait certaines conditions de croissance. La constante 0<\nu << 1 correspond à un coefficient de viscosité. Nous considérons le cas où \eta=0, ainsi que le cas où \eta est une force aléatoire, lisse en x et peu régulière (de type "kick" ou bruit blanc) en t. Nous obtenons des estimations sur les normes de Sobolev de u moyennées en temps et en probabilité de la forme C \nu^{-\delta}, \delta >= 0, avec le

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35

Marrekchi, Hamadi. "Dynamic compensators for a nonlinear conservation law." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-05042006-164530/.

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36

Shu, Yupeng. "Numerical Solutions of Generalized Burgers' Equations for Some Incompressible Non-Newtonian Fluids." ScholarWorks@UNO, 2015. http://scholarworks.uno.edu/td/2051.

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The author presents some generalized Burgers' equations for incompressible and isothermal flow of viscous non-Newtonian fluids based on the Cross model, the Carreau model, and the Power-Law model and some simple assumptions on the flows. The author numerically solves the traveling wave equations for the Cross model, the Carreau model, the Power-Law model by using industrial data. The author proves existence and uniqueness of solutions to the traveling wave equations of each of the three models. The author also provides numerical estimates of the shock thickness as well as maximum strain $\vare

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37

Redmon, Jessica. "Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case15602738261697.

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Giraud, Christophe. "Turbulence de Burgers et agrégation de particules lorsque l'état initial est aléatoire." Paris 6, 2001. http://www.theses.fr/2001PA066430.

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Grimm, Alexander Rudolf. "Taming of Complex Dynamical Systems." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/24775.

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The problem of establishing local existence and uniqueness of solutions to systems of differential equations is well understood and has a long history. However, the problem of proving global existence and uniqueness is more difficult and fails even for some very simple ordinary differential equations. It is still not known if the 3D Navier-Stokes equation have global unique solutions and this open problem is one of the Millennium Prize Problems. However, many of these mathematical models are extremely useful in the understanding of complex physical systems. For years people have considered met

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Carneiro, Evaneide Alves. "O problema pseudoviscoso e a equação de BBM-Burgers estocásticos." Universidade Federal de São Carlos, 2016. https://repositorio.ufscar.br/handle/ufscar/8565.

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Tyler, Jonathan G. "Analysis and Implementation of High-Order Compact Finite Difference Schemes." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/1278.

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The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact schemes are high order implicit methods for numerical solutions of initial and/or boundary value problems modeled by differential equations. These schemes generally require smaller stencils than the traditional explicit finite difference counterparts. To avoid numerical instabilities at and near boundaries and in regions of mesh non-uniformity, a numerical filtering technique is employed. Experiments for non-stationary linear p

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42

Atwell, Jeanne A. "Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/26985.

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Numerical models of PDE systems can involve very large matrix equations, but feedback controllers for these systems must be computable in real time to be implemented on physical systems. Classical control design methods produce controllers of the same order as the numerical models. Therefore, emph{reduced} order control design is vital for practical controllers. The main contribution of this research is a method of control order reduction that uses a newly developed low order basis. The low order basis is obtained by applying Proper Orthogonal Decomposition (POD) to a set of functional gains

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Cook, Stephen. "Adaptive mesh methods for numerical weather prediction." Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.707591.

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This thesis considers one-dimensional moving mesh (MM) methods coupled with semi-Lagrangian (SL) discretisations of partial differential equations (PDEs) for meteorological applications. We analyse a semi-Lagrangian numerical solution to the viscous Burgers’ equation when using linear interpolation. This gives expressions for the phase and shape errors of travelling wave solutions which decay slowly with increasing spatial and temporal resolution. These results are verified numerically and demonstrate qualitative agreement for high order interpolants. The semi-Lagrangian discretisation is coup

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Unger, Benjamin. "Impact of Discretization Techniques on Nonlinear Model Reduction and Analysis of the Structure of the POD Basis." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/24197.

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In this thesis a numerical study of the one dimensional viscous Burgers equation is conducted. The discretization techniques Finite Differences, Finite Element Method and Group Finite Elements are applied and their impact on model reduction techniques, namely Proper Orthogonal Decomposition (POD), Group POD and the Discrete Empirical Interpolation Method (DEIM), is studied. This study is facilitated by examination of several common ODE solvers. Embedded in this process, some results on the structure of the POD basis and an alternative algorithm to compute the POD subspace are presented. Variou

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45

Yilmaz, Fikriye Nuray. "Space-time Discretization Of Optimal Control Of Burgers Equation Using Both Discretize-then-optimize And Optimize-then-discretize Approaches." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613388/index.pdf.

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Optimal control of PDEs has a crucial place in many parts of sciences and industry. Over the last decade, there have been a great deal in, especially, control problems of elliptic problems. Optimal control problems of Burgers equation that is as a simplifed model for turbulence and in shock waves were recently investigated both theoretically and numerically. In this thesis, we analyze the space-time simultaneous discretization of control problem for Burgers equation. In literature, there have been two approaches for discretization of optimization problems: optimize-then-discretize and discreti

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Mitra, Dhrubaditya. "Studies of Static and Dynamic Multiscaling in Turbulence." Thesis, Indian Institute of Science, 2004. https://etd.iisc.ac.in/handle/2005/122.

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The physics of turbulence is the study of the chaotic and irregular behaviour in driven fluids. It is ubiquitous in cosmic, terrestrial and laboratory environments. To describe the properties of a simple incompressible fluid it is sufficient to know its velocity at all points in space and as a function of time. The equation of motion for the velocity of such a fluid is the incompressible Navier–Stokes equation. In more complicated cases, for example if the temperature of the fluid also fluctuates in space and time, the Navier–Stokes equation must be supplemented by additional equations. Incomp

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47

Mitra, Dhrubaditya. "Studies of Static and Dynamic Multiscaling in Turbulence." Thesis, Indian Institute of Science, 2004. http://hdl.handle.net/2005/122.

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CSIR (INDIA), IFCPAR<br>The physics of turbulence is the study of the chaotic and irregular behaviour in driven fluids. It is ubiquitous in cosmic, terrestrial and laboratory environments. To describe the properties of a simple incompressible fluid it is sufficient to know its velocity at all points in space and as a function of time. The equation of motion for the velocity of such a fluid is the incompressible Navier–Stokes equation. In more complicated cases, for example if the temperature of the fluid also fluctuates in space and time, the Navier–Stokes equation must be supplemented by addi

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48

Bendaas, Saïda. "Quelques applications de l'analyse non standard aux équations aux dérivées partielles." Mulhouse, 1994. http://www.theses.fr/1994MULH0298.

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Silva, Luciano Cipriano da. "Controle hierárquico via estratégia de Stackelberg-Nash para controlabilidade de sistemas parabólicos e hiperbólicos." Universidade Federal da Paraíba, 2017. http://tede.biblioteca.ufpb.br:8080/handle/tede/9839.

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Submitted by Leonardo Cavalcante (leo.ocavalcante@gmail.com) on 2018-05-03T13:44:12Z No. of bitstreams: 1 Arquivototal.pdf: 1150863 bytes, checksum: a7e25ab87986c9d088c0fe224303f97f (MD5)<br>Made available in DSpace on 2018-05-03T13:44:12Z (GMT). No. of bitstreams: 1 Arquivototal.pdf: 1150863 bytes, checksum: a7e25ab87986c9d088c0fe224303f97f (MD5) Previous issue date: 2017-03-31<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this thesis we presents results on the exact controllability of the partial Di erential Equations (PDEs) of the parabolic and hyperbolic t

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50

Bec, Jérémie. "Particules, singularités et turbulence." Paris 6, 2002. http://www.theses.fr/2002PA066027.

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