Diffusion-wave type solutions with two fronts to a nonlinear degenerate reaction-diffusion system

DOI10.1134/S0021894422060128OpenAlexW4323060242MaRDI QIDQ2694190

Aleksandr Leonidovich Kazakov, Lev Fridrikhovich Spevak

Publication date: 28 March 2023

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894422060128

zbMATH Keywords

reaction-diffusion systemradial basis functionspower seriesexistence and uniqueness theoremdiffusion wave

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items

The problem of diffusion wave initiation for a nonlinear second-order parabolic system

Cites Work

• Mathematical models of convection.
• Existence and uniqueness of the solution of the boundary-value problem for a parabolic equation of unsteady filtration
• Theory of fluid flows through natural rocks
• Application of the special series method to the construction of new classes of solutions of nonlinear partial differential equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Some recent results and proposals for the use of radial basis functions in the BEM
• Exact and approximate solutions of a degenerate reaction-diffusion system
• On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation
• Exact solutions to the problem of deep-bed filtration with retardation of a jump in concentration within the framework of the nonlinear two-velocity model
• Radial Basis Functions