Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations
From MaRDI portal
Publication:4600766
DOI10.1017/S0956792516000528zbMath1386.35196arXiv1605.07279OpenAlexW3104159283MaRDI QIDQ4600766
Publication date: 12 January 2018
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.07279
interfacereaction-diffusion equationparabolic p-Laplaciannonlinear degenerate parabolic PDEnonlinear scaling lawssuper- and subsolutions
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (5)
Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption ⋮ Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations. II: Fast diffusion versus absorption ⋮ Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations ⋮ Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption ⋮ Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate parabolic equations
- Reaction-diffusion in a closed domain formed by irregular curves
- Reaction-diffusion in irregular domains
- Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption
- On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations
- On solutions of some doubly nonlinear degenerate parabolic equations with absorption
- Interfaces in diffusion-absorption processes in nonhomogeneous media
- Reaction-diffusion in nonsmooth and closed domains
- On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
- THE INITIAL INTERFACE DEVELOPMENT FOR A REACTION-DIFFUSION EQUATION WITH POWER-LAW INITIAL DATA
- On the propagation properties of a nonlinear degenerate parabolic equation
- Short time behaviour of a singular solution to the heat equation with absorption
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Interface Development and Local Solutions to Reaction-Diffusion Equations
- On the equation of turbulent filtration in one- dimensional porous media
- Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains
- On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
- On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
This page was built for publication: Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations