Title:	Travelling waves in the Fisher–KPP equation with nonlinear degenerate or singular diffusion
Authors:	Drábek, Pavel Takáč, Peter
Citation:	DRÁBEK, P., TAKÁČ, P. Travelling waves in the Fisher–KPP equation with nonlinear degenerate or singular diffusion. Applied mathematics and optimization, 2021, roč. 84, č. 2, s. 1185-1208. ISSN 0095-4616.
Issue Date:	2021
Publisher:	Springer
Document type:	článek article
URI:	2-s2.0-85082957434 http://hdl.handle.net/11025/45043
ISSN:	0095-4616
Keywords in different language:	Fisher–Kolmogoroff–Petrovsky–Piscounoff equation;Travelling wave;Degenerate and/or singular diffusion;Non-smooth reaction term;Existence and non-existence of travelling waves;An overdetermined first-order boundary value problem
Abstract in different language:	We consider a one-dimensional reaction–diffusion equation of Fisher–Kolmogoroff– Petrovsky–Piscounoff type. We investigate the effect of the interaction between the nonlinear diffusion coefficient and the reaction termon the existence and non-existence of travelling waves. Our diffusion coefficient is allowed to be degenerate or singular at both equilibrium points, 0 and 1, while the reaction term need not be differentiable. These facts influence the existence and qualitative properties of travelling waves in a substantial way.
Rights:	Plný text není přístupný. © Springer
Appears in Collections:	Články / Articles (KMA) Články / Articles (NTIS) OBD

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