Front propagation in nonlinear parabolic equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00434174" target="_blank" >RIV/67985840:_____/14:00434174 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1112/jlms/jdu039" target="_blank" >http://dx.doi.org/10.1112/jlms/jdu039</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/jlms/jdu039" target="_blank" >10.1112/jlms/jdu039</a>

Result language
angličtina
Original language name
Front propagation in nonlinear parabolic equations
Original language description
We study existence and stability of travelling waves for nonlinear convection?diffusion equations in the one-dimensional Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p -Laplacian and may be degenerate. We also prove that the solution converges to 1 outside an interface which moves with constant velocity; our results include both generation and propagation of interface properties. In particular, unconditional stability is established with respect to initial dataperturbations in L 1 (R).
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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