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Travelling waves in a convection-diffusion equation
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SYSNO ASEP 0369968 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Travelling waves in a convection-diffusion equation Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Petzeltová, Hana (MU-W) RID, SAI
Takáč, P. (DE)Source Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 252, č. 3 (2012), s. 2296-2310Number of pages 15 s. Language eng - English Country US - United States Keywords travelling waves ; convection-diffusion Subject RIV BA - General Mathematics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000297833500011 EID SCOPUS 83055172978 DOI 10.1016/j.jde.2011.07.028 Annotation We study existence and stability of travelling waves for nonlinear convection–diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in L1(R). Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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