Finite Speed of Propagation in Monostable Degenerate Reaction-Diffusion-Convection Equations

DOI10.1515/ans-2005-0204zbMath1074.35056OpenAlexW2517162291MaRDI QIDQ4675942

Cristina Marcelli, Luisa Malaguti

Publication date: 6 May 2005

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2005-0204

zbMATH Keywords

travelling wave solutionsFisher-KPP equationsharp profilesconvective effectsnew types of profiles

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65)

Related Items

Diffusion-convection reaction equations with sign-changing diffusivity and bistable reaction term ⋮ Wavefront solutions for a class of nonlinear highly degenerate parabolic equations ⋮ Wavefronts in traffic flows and crowds dynamics ⋮ Sharp profiles in models of collective movements ⋮ Traveling wavefronts for a time delayed non-Newtonian filtration equation ⋮ Traveling waves for generalized Fisher–Kolmogorov equation with discontinuous density dependent diffusion ⋮ Continuous dependence in front propagation for convective reaction-diffusion models with aggregative movements ⋮ Asymptotic Speed of Propagation for Fisher-Type Degenerate Reaction-Diffusion-Convection Equations ⋮ Propagation property for anisotropic nonlinear diffusion equation with convection ⋮ Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity ⋮ Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity

Cites Work

• Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations
• Existence of bounded trajectories via upper and lower solutions
• Emergence of Waves in a Nonlinear Convection-Reaction-Diffusion Equation