On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation

DOI10.33048/semi.2019.16.073zbMath1423.35183OpenAlexW3015204774MaRDI QIDQ2331119

Aleksandr Leonidovich Kazakov

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.073

zbMATH Keywords

exact solutionpartial differential equationsexistence and uniqueness theoremnonlinear parabolic heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Classical solutions to PDEs (35A09)

Related Items (7)

Exact and approximate solutions of a degenerate reaction-diffusion system ⋮ Analytical diffusion wave-type solutions to a nonlinear parabolic system with cylindrical and spherical symmetry ⋮ Solutions of the second-order nonlinear parabolic system modeling the diffusion wave motion ⋮ Diffusion-wave type solutions with two fronts to a nonlinear degenerate reaction-diffusion system ⋮ Approximate and exact solutions to the singular nonlinear heat equation with a common type of nonlinearity ⋮ On the Construction of Solutions to a Problem with a Free Boundary for the Non-linear Heat Equation ⋮ Analytical solutions with zero front to the nonlinear degenerate parabolic system

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