Existence of similarity profiles for diffusion equations and systems
From MaRDI portal
Publication:6671050
DOI10.1007/s00030-024-01009-3MaRDI QIDQ6671050
Stefanie Schindler, Alexander Mielke
Publication date: 24 January 2025
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
self-similarityreaction-diffusion systemsmonotone operatorssimilarity profilesconstrained profile equation
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40) Self-similar solutions to PDEs (35C06) Variational methods applied to problems in thermodynamics and heat transfer (80M30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On uniform decay of the entropy for reaction-diffusion systems
- Solutions without phase-slip for the Ginsburg-Landau equation
- Asymptotic behaviour of solutions of a nonlinear diffusion equation
- Diffusive mixing of stable states in the Ginzburg-Landau equation
- Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
- Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities
- Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line
- EDP-convergence for a linear reaction-diffusion system with fast reversible reaction
- Coarse-graining via EDP-convergence for linear fast-slow reaction systems
- Asymptotic Behavior of Solutions of a Nonlinear Diffusion Equation
- Concentration-dependent diffusion III. An approximate solution
- A class of similarity solutions of the nonlinear diffusion equation
- EDP-convergence for nonlinear fast–slow reaction systems with detailed balance*
- Nonlinear partial differential equations with applications
- Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional
- On self-similar patterns in coupled parabolic systems as non-equilibrium steady states
- Convergence to self-similar profiles in reaction-diffusion systems
This page was built for publication: Existence of similarity profiles for diffusion equations and systems