Název:	Traveling waves for unbalanced bistable equation with density dependent diffusion
Autoři:	Drábek, Pavel Zahradníková, Michaela
Citace zdrojového dokumentu:	DRÁBEK, P. ZAHRADNÍKOVÁ, M. Traveling waves for unbalanced bistable equation with density dependent diffusion. Electronic Journal of Differential Equations, 2021, roč. 2021, č. 76, s. 1-21. ISSN: 1072-6691
Datum vydání:	2021
Nakladatel:	Department of Mathematics of Texas State University
Typ dokumentu:	článek article
URI:	2-s2.0-85115746667 http://hdl.handle.net/11025/45527
ISSN:	1072-6691
Klíčová slova v dalším jazyce:	density dependent diffusion;unbalanced bistable reaction term;degenerate and singular diffusion;traveling wave;degenerate non-Lipschitz reaction
Abstrakt v dalším jazyce:	We study the existence and qualitative properties of traveling wave solutions for the unbalanced bistable reaction-diffusion equation with a rather general density dependent diffusion coeffcient. In particular, it allows for singularities and/or degenerations as well as discontinuities of the fi rst kind at a fi nite number of points. The reaction term vanishes at equilibria and it is a continuous, possibly non-Lipschitz function. We prove the existence of a unique speed of propagation and a unique traveling wave pro le (up to translation) which is a non-smooth function in general. In the case of the power-type behavior of the diffusion and reaction near equilibria we provide detailed asymptotic analysis of the pro le.
Práva:	© Creative Commons Attribution 4.0 International
Vyskytuje se v kolekcích:	Články / Articles (KMA) OBD

Všechny záznamy v DSpace jsou chráněny autorskými právy, všechna práva vyhrazena.