Traveling waves for unbalanced bistable equation with density dependent diffusion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43962395" target="_blank" >RIV/49777513:23520/21:43962395 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2021/76/drabek.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2021/76/drabek.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Traveling waves for unbalanced bistable equation with density dependent diffusion
Original language description
We study the existence and qualitative properties of traveling wave solutions for the unbalanced bistable reaction-diffusion equation with a rather general density dependent diffusion coeffcient. In particular, it allows for singularities and/or degenerations as well as discontinuities of the fi rst kind at a fi nite number of points. The reaction term vanishes at equilibria and it is a continuous, possibly non-Lipschitz function. We prove the existence of a unique speed of propagation and a unique traveling wave pro le (up to translation) which is a non-smooth function in general. In the case of the power-type behavior of the diffusion and reaction near equilibria we provide detailed asymptotic analysis of the pro le.
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
10101 - Pure mathematics

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

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