Traveling waves in reaction–diffusion–convection equations with combustion nonlinearity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43973558" target="_blank" >RIV/49777513:23520/25:43973558 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.nonrwa.2024.104283" target="_blank" >https://doi.org/10.1016/j.nonrwa.2024.104283</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2024.104283" target="_blank" >10.1016/j.nonrwa.2024.104283</a>

Result language
angličtina
Original language name
Traveling waves in reaction–diffusion–convection equations with combustion nonlinearity
Original language description
This paper concerns the existence and properties of traveling wave solutions to reaction–diffusion–convection equations on the real line. We consider a general diffusion term involvingthe 𝑝-Laplacian and combustion-type reaction term. We extend and generalize results establishedfor 𝑝 = 2 to the case of singular and degenerate diffusion. Our approach allows for non-Lipschitz reaction as well. We also discuss the shape of the traveling wave profile near equilibria,assuming power-type behavior of the reaction and diffusion terms.
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
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OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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