Traveling waves for generalized Fisher-Kolmogorov equation with discontinuous density dependent diffusion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43965755" target="_blank" >RIV/49777513:23520/23:43965755 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8683" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8683</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.8683" target="_blank" >10.1002/mma.8683</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Traveling waves for generalized Fisher-Kolmogorov equation with discontinuous density dependent diffusion

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Traveling waves for generalized Fisher-Kolmogorov equation with discontinuous density dependent diffusion

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA22-18261S" target="_blank" >GA22-18261S: Nelineární úlohy s nestandardní difuzí</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

46

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

12064-12086

Kód UT WoS článku

000852823600001

EID výsledku v databázi Scopus

2-s2.0-85137498121