Travelling waves in the Fisher–KPP equation with nonlinear degenerate or singular diffusion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43958444" target="_blank" >RIV/49777513:23520/21:43958444 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00245-020-09674-3" target="_blank" >https://link.springer.com/article/10.1007/s00245-020-09674-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00245-020-09674-3" target="_blank" >10.1007/s00245-020-09674-3</a>

Result language
angličtina
Original language name
Travelling waves in the Fisher–KPP equation with nonlinear degenerate or singular diffusion
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-03253S" target="_blank" >GA18-03253S: Differential equations with special types of nonlinearities</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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