Diffusion and wave behaviour in linear Voigt model [PDF]
, 2002 A boundary value problem related to a third- order parabolic equation with a small parameter is analized. This equation models the one-dimensional evolution of many dissipative media as viscoelastic fluids or solids, viscous gases, superconducting ...
Barenblatt +24 more
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Boundary Value Problems, 2019 In the present paper a nonlocal inverse boundary-value problem for a second-order parabolic equation is considered. This investigation introduces the identification of the lowest unknown coefficient and time-depend right-hand side in a second-order ...
Elvin I. Azizbayov
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Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]
, 2018 Pseudo-parabolic equations have been used to model unsaturated fluid flow in porous media. In this paper it is shown how a pseudo-parabolic equation can be upscaled when using a spatio-temporal decomposition employed in the Peszyn'ska-Showalter-Yi paper [
AJ Vromans +6 more
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The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
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Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
Nonlinear Analysis, 2002 Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
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Regularity of a Parabolic Differential Equation on Graphs
Mathematics, 2023 In this paper, motivated by a biodegradable stent problem, we consider a parabolic differential equation on graphs. This kind of equation describes the stent material degradation in time.
Bojan Žugec
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Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients [PDF]
, 2012 This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation.
Conlon, Joseph G., Fahim, Arash
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Parabolic time dependent source identification problem with involution and Neumann condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 A time dependent source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan
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An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians [PDF]
, 2019 We propose an approximation scheme for a class of semilinear parabolic equations that are convex and coercive in their gradients. Such equations arise often in pricing and portfolio management in incomplete markets and, more broadly, are directly ...
Huang, Shuo +2 more
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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