Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations
MathematicsThe optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na +3 more
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Effective junction conditions for degenerate parabolic equations [PDF]
Calculus of Variations and Partial Differential Equations, 2016 We are interested in the study of parabolic equations on a multi-dimensional junction, i.e. the union of a finite number of copies of a half-hyperplane of dimension d+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
C. Imbert, V. Nguyen
semanticscholar +2 more sources
A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics [PDF]
Journal of nonlinear science, 2021 We discuss a system of two coupled parabolic equations that have degenerate diffusion constants depending on the energy-like variable. The dissipation of the velocity-like variable is fed as a source term into the energy equation leading to conservation ...
A. Mielke
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Null controllability of strongly degenerate parabolic equations
E S A I M: Control, Optimisation and Calculus of Variations, 2023 We consider linear one-dimensional strongly degenerate parabolic equations with measurable coefficients that may be degenerate or singular. Taking 0 as the point where the strong degeneracy occurs, we assume that the coefficient a = a(x) in the principal
L. Rosier, Antoine Benoit, R. Loyer
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A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors.
U.K. Koilyshov +2 more
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations
Discrete and Continuous Dynamical Systems - B, 2022 Traveling wave solutions for the one-dimensional degenerate parabolic equations are considered. The purpose of this paper is to classify the nonnegative traveling wave solutions including sense of weak solutions of these equations and to present their ...
Yutaka Ichida
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The Cauchy Problem for Parabolic Equations with Degeneration [PDF]
Advances in Mathematical Physics, 2020 Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points.
Ivan Pukal’skii, Bohdan Yashan
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