Wavefront solutions for a class of nonlinear highly degenerate parabolic equations

DOI10.1016/j.jde.2022.05.019zbMath1491.35110OpenAlexW4281644294MaRDI QIDQ2148944

Marco Cantarini, Francesca Papalini, Cristina Marcelli

Publication date: 24 June 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.05.019

zbMATH Keywords

reaction-diffusion-convection equationssingular boundary value problemstravelling wave solutionsspeed of propagationheteroclinic solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence to travelling waves for quasilinear Fisher-KPP type equations
• Semi-wavefront solutions in models of collective movements with density-dependent diffusivity
• Diffusion-aggregation processes with mono-stable reaction terms
• The asymptotic critical wave speed in a family of scalar reaction-diffusion equations
• Fastness and continuous dependence in front propagation in Fisher-KPP equations
• An approximation to a sharp type solution of a density-dependent reaction-diffusion equation
• Travelling waves in nonlinear diffusion-convection reaction
• Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation
• Continuous dependence in front propagation of convective reaction-diffusion equations
• Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity
• Travelling waves in the Fisher-KPP equation with nonlinear degenerate or singular diffusion
• The Fisher-KPP problem with doubly nonlinear diffusion
• Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term
• Sharp profiles in models of collective movements
• Classification of traveling waves for a class of nonlinear wave equations
• Convergence to the travelling wave solution for a nonlinear reaction-diffusion equation
• Asymptotic Speed of Propagation for Fisher-Type Degenerate Reaction-Diffusion-Convection Equations
• On the Form of Smooth-Front Travelling Waves in a Reaction-Diffusion Equation with Degenerate Nonlinear Diffusion
• A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations
• Finite Speed of Propagation in Monostable Degenerate Reaction-Diffusion-Convection Equations
• A Fisher/KPP-type equation with density-dependent diffusion and convection: travelling-wave solutions
• On a Doubly Nonlinear Parabolic Obstacle Problem Modelling Ice Sheet Dynamics
• Heteroclinic traveling fronts for reaction-convection-diffusion equations with a saturating diffusive term
• Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations

This page was built for publication: Wavefront solutions for a class of nonlinear highly degenerate parabolic equations