Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43971901" target="_blank" >RIV/49777513:23520/24:43971901 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/24:43908768
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X24004037?dgcid=coauthor" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X24004037?dgcid=coauthor</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128481" target="_blank" >10.1016/j.jmaa.2024.128481</a>
Alternative languages
Result language
angličtina
Original language name
Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients
Original language description
This paper concerns wave propagation in a class of scalar reaction-diffusion-convection equations with p-Laplacian-type diffusion and monostable reaction. We introduce a new concept of a non-smooth traveling wave profile, which allows us to treat discontinuous diffusion with possible degenerations and singularities at 0 and 1, as well as only piecewise continuous convective velocity. Our approach is based on comparison arguments for an equivalent non-Lipschitz first-order ODE. We formulate sufficient conditions for the existence and non-existence of these generalized solutions and discuss how the convective velocity affects the minimal wave speed compared to the problem without convection. We also provide brief asymptotic analysis of the profiles, for which we need to assume power-type behavior of the diffusion and reaction terms.
Czech name
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Czech description
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Classification
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
Result continuities
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)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
539
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
26
Pages from-to
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UT code for WoS article
001240423200001
EID of the result in the Scopus database
2-s2.0-85192297963