Title: Traveling waves for generalized Fisher-Kolmogorov equation with discontinuous density dependent diffusion
Authors: Drábek, Pavel
Zahradníková, Michaela
Citation: DRÁBEK, P. ZAHRADNÍKOVÁ, M. Traveling waves for generalized Fisher-Kolmogorov equation with discontinuous density dependent diffusion. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, roč. 46, č. 11, s. 12064-12086. ISSN: 0170-4214
Issue Date: 2023
Publisher: Wiley
Document type: článek
URI: 2-s2.0-85137498121
ISSN: 0170-4214
Keywords in different language: degenerate and singular density-dependent diffusion;discontinuous diffusion;non-Lipschitz reaction;reaction-diffusion equation;traveling wave
Abstract in different language: We are concerned with the existence and qualitative properties of traveling wave solutions for a quasilinear reaction-diffusion equation on the real line. We consider a non-Lipschitz reaction term of Fisher-KPP type and a discontinuous diffusion coefficient that allows for degenerations and singularities at equilibrium points. We investigate the joint influence of the reaction and diffusion terms on the existence and nonexistence of traveling waves, and assuming these terms are of power-type near equilibria, we provide classification of solutions based on their asymptotic properties. Our approach provides a broad theoretical background for the mathematical treatment of rather general models not only in population dynamics but also in other applied sciences and engineering.
Rights: Plný text je přístupný v rámci univerzity přihlášeným uživatelům
© John Wiley & Sons
Appears in Collections:Články / Articles (NTIS)
Články / Articles (KMA)

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