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Relevant bibliographies by topics / Mixed hyperbolic-parabolic problems

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Academic literature on the topic 'Mixed hyperbolic-parabolic problems'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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Journal articles on the topic "Mixed hyperbolic-parabolic problems"

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Aldashev, S. A. "TRICOMI PROBLEM FOR MULTIDIMENSIONAL MIXED HYPERBOLIC-PARABOLIC EQUATION." Vestnik of Samara University. Natural Science Series 26, no. 4 (2021): 7–14. http://dx.doi.org/10.18287/2541-7525-2020-26-4-7-14.

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It is known that in mathematical modeling of electromagnetic fields in space, the nature of the electromagnetic process is determined by the properties of the media. If the medium is non-conducting, then we obtain multidimensional hyperbolic equations. If the mediums conductivity is higher, then we arrive at multidimensional parabolic equations. Consequently, the analysis of electromagnetic fields in complex media (for example, if the conductivity of the medium changes) reduces to multidimensional hyperbolic-parabolic equations. When studying these applications, one needs to obtain an explicit

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Aldashev, Serik. "The Tricomi Problem for a Class of Multidimensional Mixed Hyperbolic-Parabolic Equations." Mathematical Physics and Computer Simulation, no. 2 (August 2022): 5–16. http://dx.doi.org/10.15688/mpcm.jvolsu.2022.2.1.

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It is known that in the mathematical modeling of electromagnetic fields in space, the nature of the electromagnetic process is determined by the properties of the medium. If the medium is non-conducting, we obtain degenerate multidimensional hyperbolic equations. If the medium has a high conductivity, then we come to degenerate multidimensional parabolic equations. Consequently, the analysis of electromagnetic fields in complex media (for example, if the conductivity of the medium changes) is reduced to degenerate multidimensional hyperbolic-parabolic equations. It is also known that the oscil

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3

Aldashev, C. A., and E. Kazez. "CORRECTNESS OF THE MIXED PROBLEM FOR ONE CLASS OF DEGENERATE MULTIDIMENSIONAL HYPERBOLO-PARABOLIC EQUATIONS." SERIES PHYSICO-MATHEMATICAL 6, no. 334 (2020): 27–35. http://dx.doi.org/10.32014/2020.2518-1726.94.

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It is known that in mathematical modeling of electromagnetic fields in space, the nature of the electromagnetic process is determined by the properties of the medium. If the medium is non-conductive, we get degenerate multi-dimensional hyperbolic equations. If the medium has a high conductivity, then we go to degenerate multidimensional parabolic equations. Consequently, the analysis of electromagnetic fields in complex media (for example, if the conductivity of the medium changes) reduces to degenerate multidimensional hyperbolic-parabolic equations. Also, it is known that the oscillations of

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4

Sidorov, S. N. "Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part." Sibirskie Elektronnye Matematicheskie Izvestiya 16 (January 31, 2019): 144–57. http://dx.doi.org/10.33048/semi.2019.16.007.

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Abdumitalip uulu, K. "Boundary Value Problems for a Mixed Fourth-order Parabolic-Hyperbolic Equation With Discontinuous Gluing Conditions." Bulletin of Science and Practice, no. 11 (November 15, 2022): 12–23. http://dx.doi.org/10.33619/2414-2948/84/01.

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The theorem of the existence and uniqueness of the solution of the boundary value problem for the equation in partial derivatives of the fourth order with variable coefficients containing the product of the mixed parabolic-hyperbolic operator and the differential operator of the oscillation string with discontinuous conditions of gluing in the pentagon to the plane is proved. By the method of reducing the order of equations, the solvability of the boundary value problem is reduced to the solution of the Tricomi problem for the mixed parabola-hyperbolic equation with variable coefficients and d

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Tarasenko, A. V. "ON SOME PROBLEMS FOR A LOADED PARABOLIC-HYPERBOLIC EQUATION." Vestnik of Samara University. Natural Science Series 19, no. 6 (2017): 201–4. http://dx.doi.org/10.18287/2541-7525-2013-19-6-201-204.

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Some problems with various boundary conditions for the loaded mixed type equation in rectangular area are studied. The criterion of uniqueness is established and theorems of an existence of solutions to the problems are proved. The solutions are constructed as Fourier series with respect to eigenfunctions of a corresponding one-dimensional problem.

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Yunusova, G. R. "NONLOCAL PROBLEMS FOR THE EQUATION OF THE MIXED PARABOLIC-HYPERBOLIC TYPE." Vestnik of Samara University. Natural Science Series 17, no. 8 (2017): 108–17. http://dx.doi.org/10.18287/2541-7525-2011-17-8-108-117.

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Boundary value problems with non-local conditions for partial differential equation are considered. In these problems, non-local conditions connect the values of a required solutions on the opposite sides of a rectangular domain. Criteria of uniqueness of each of the problems are obtained. Solutions to both problems are constructed as sums of Fourier series. The stability of solutions is proved.

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Milovanovic-Jeknic, Zorica. "Parabolic-hyperbolic transmission problem in disjoint domains." Filomat 32, no. 20 (2018): 6911–20. http://dx.doi.org/10.2298/fil1820911m.

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In applications, especially in engineering, often are encountered composite or layered structures, where the properties of individual layers can vary considerably from the properties of the surrounding material. Layers can be structural, thermal, electromagnetic or optical, etc. Mathematical models of energy and mass transfer in domains with layers lead to so called transmission problems. In this paper we investigate a mixed parabolic-hyperbolic initial-boundary value problem in two nonadjacent rectangles with nonlocal integral conjugation conditions. It was considered more examples of physica

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Colli, Pierluigi, and Angelo Favini. "Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations." International Journal of Mathematics and Mathematical Sciences 19, no. 3 (1996): 481–94. http://dx.doi.org/10.1155/s0161171296000683.

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In this paper we deal with the equationL(d2u/dt2)+B(du/dt)+Au∋f, whereLandAare linear positive selfadjoint operators in a Hilbert spaceHand from a Hilbert spaceV⊂Hto its dual spaceV′, respectively, andBis a maximal monotone operator fromVtoV′. By assuming some coerciveness onL+BandA, we state the existence and uniqueness of the solution for the corresponding initial value problem. An approximation via finite differences in time is provided and convergence results along with error estimates are presented.

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Balkizov, Zh A., Z. Kh Guchaeva, and A. Kh Kodzokov. "Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 106, no. 2 (2022): 59–71. http://dx.doi.org/10.31489/2022m2/59-71.

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This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part. We find sufficient conditions for the given functions to ensure the existence of a unique regular solution to the problems under study. In some special cases, solutions are obtained explicitly.

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Dissertations / Theses on the topic "Mixed hyperbolic-parabolic problems"

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ROSSI, ELENA. "Balance Laws: Non Local Mixed Systems and IBVPs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/103090.

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Scalar hyperbolic balance laws in several space dimensions play a central role in this thesis. First, we deal with a new class of mixed parabolic-hyperbolic systems on all R^n: we obtain the basic well-posedness theorems, devise an ad hoc numerical algorithm, prove its convergence and investigate the qualitative properties of the solutions. The extension of these results to bounded domains requires a deep understanding of the initial boundary value problem (IBVP) for hyperbolic balance laws. The last part of the thesis provides rigorous estimates on the solution to this IBVP, under precise reg

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Gisclon, Marguerite. "Etude des conditions aux limites pour des systèmes strictement hyperboliques, via l'approximation parabolique." Lyon 1, 1994. http://www.theses.fr/1994LYO10294.

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On etudie les systemes hyperboliques de lois de conservation en dimension un d'espace, en particulier ce qu'il reste d'une condition aux limites de dirichlet, de neumann ou melee, posee pour une perturbation parabolique du systeme, lorsque le cfficient de diffusion tend vers zero. De telles perturbations ont en general un sens physique dans le probleme qu'on etudie, elles modelisent en effet les effets de dissipation. Dans un premier temps, on montre que les limites de deux problemes differents pour l'equation de burgers, que joseph et le floch avaient decrites par des formules complexes, sont

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Books on the topic "Mixed hyperbolic-parabolic problems"

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Elliptic, hyperbolic and mixed complex equations with parabolic degeneracy. World Scientific, 2008.

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Volevich, L. R. Mixed problem for partial differential equations with quasihomogeneous principal part. American Mathematical Society, 1996.

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Book chapters on the topic "Mixed hyperbolic-parabolic problems"

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Maurer, Jochen. "A Genuinely Multi-dimensional Scheme for Mixed Hyperbolic-Parabolic Systems." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8724-3_22.

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"Mixed problem for q-parabolic and q-hyperbolic equation." In Translations of Mathematical Monographs. American Mathematical Society, 1995. http://dx.doi.org/10.1090/mmono/147/04.

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Conference papers on the topic "Mixed hyperbolic-parabolic problems"

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Chernikov, Dmitry, and Olesya I. Zhupanska. "Fully Coupled Dynamic Analysis of Electro-Magneto-Mechanical Problems in Electrically Conductive Composite Plates." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37377.

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This paper will present a numerical method for solving fully coupled dynamic problems of the mechanical behavior of electrically conductive composite plates in the presence of an electromagnetic field. The mechanical behavior of electrically conductive materials in the presence of an electromagnetic field is described by the system of nonlinear partial differential equations (PDEs), including equations of motion and Maxwell’s equations that are coupled through the Lorentz ponderomotive force. In the case of thin plates, the system of governing equations is reduced to the two-dimensional (2D) t

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Hagani, Fouad, M'hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Non-Affine Viscoelastic Fluid Flow Including Viscous Dissipation Through a Square Cross-Section Duct: Heat Transfer Enhancement due to the Inertia and the Elastic Effects." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23558.

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Abstract Non-isothermal laminar flow of a viscoelastic fluid including viscous dissipation through a square cross–section duct is analyzed. Viscoelastic stresses are described by Giesekus modele orthe Phan-Thien–Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The flow through the tube is governed by the conservation equations of energy, mass, momentum associated with to one non–affine rheological model mentioned above. The mixed type of the governing system of equations (elliptic–parabolic–hyperbolic) requires coupling between discretisatio

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Dildabek, Gulnar. "On a new nonlocal boundary value problem for an equation of the mixed parabolic-hyperbolic type." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’16): Proceedings of the 42nd International Conference on Applications of Mathematics in Engineering and Economics. Author(s), 2016. http://dx.doi.org/10.1063/1.4968471.

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Kalmenov, Tynysbek Sh, and Makhmud Sadybekov. "On a problem of the Frankl type for an equation of the mixed parabolic-hyperbolic type." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959615.

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5

"Initial boundary value problem for a three-dimensional homogeneous equation of mixed parabolic-hyperbolic type with power degeneration." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.93.

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Dildabek, G., M. A. Sadybekov, and M. B. Saprygina. "On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type." In PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’17). Author(s), 2017. http://dx.doi.org/10.1063/1.5013971.

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