Non-self-similar solutions of multidimensional nonlinear diffusion equations

DOI10.1007/BF02686247zbMath0965.35089OpenAlexW2051916712MaRDI QIDQ1582968

Edward Ivanovich Semenov, Gennandij Alekseevich Rudykh

Publication date: 22 July 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02686247

zbMATH Keywords

degenerate parabolic equationalgebro-differential equationexplicit exact non-self-similar nonnegative solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Solutions to PDEs in closed form (35C05)

Related Items (11)

On exact multidimensional solutions to a nonlinear system of fourth-order hyperbolic equations ⋮ On boundary value problem with degeneration for nonlinear porous medium equation with boundary conditions on the closed surface ⋮ On exact multidimensional solutions of a nonlinear system of reaction-diffusion equations ⋮ Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms ⋮ New exact solutions of the diffusion equation with power nonlinearity ⋮ Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere ⋮ Exact solutions of the nonlinear diffusion equation ⋮ On exact multidimensional solutions of a nonlinear system of first order partial differential equations ⋮ On an efficient splitting-based method for solving the diffusion equation on a sphere ⋮ Non-self-similar solutions of multidimensional nonlinear diffusion equations ⋮ Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I

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