Analysis and instabilities of travelling waves solutions for a free boundary problem with non-homogeneous KPP reaction, with degenerate diffusion and with non-linear advection

DOI10.1080/14689367.2021.2008877zbMath1487.35167OpenAlexW3215848230MaRDI QIDQ5071676

José Luis Daíz Palencia

Publication date: 22 April 2022

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2021.2008877

zbMATH Keywords

travelling waveshomotopyheterogeneous reactionFisher-KPP problemhigh order diffusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for higher-order parabolic equations (35K30) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Cites Work

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• Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients
• One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\)
• Instability of traveling waves of the Kuramoto-Sivashinsky equation
• On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation
• Travelling wave solutions of a fourth-order semilinear diffusion equation
• Multidimensional nonlinear diffusion arising in population genetics
• Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation
• On the nonlinear instability of traveling waves for a sixth-order parabolic equation
• The Fisher-KPP problem with doubly nonlinear ``fast diffusion
• Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity
• Global solutions of higher-order semilinear parabolic equations in the supercritical range
• Weighted Sobolev spaces and embedding theorems
• On a spectrum of blow–up patterns for a higher–order semilinear parabolic equation
• Spatial patterns. Higher order models in physics and mechanics

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