Korteweg–de Vries–Burgers system inRN

Autor:	Shan Ma, Maria B. Kania, Tomasz Dlotko
Rok vydání:	2014
Předmět:	Cauchy problem Nonlinear Sciences::Exactly Solvable and Integrable Systems Applied Mathematics Mathematical analysis Attractor Mathematics::Analysis of PDEs Regularization (mathematics) Laplace operator Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 411:853-872
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2013.10.007
Popis:	We study Cauchy problem in R N for the Korteweg–de Vries–Burgers system. Parabolic regularization technique is used to prove its global in time solvability. The regularization effect of the Laplacian term is observed for the viscous solutions constructed in the paper. Asymptotic behavior of weak solutions is discussed next in the language of the global attractors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::baf82bade4ce8093d8485bb865815295 https://doi.org/10.1016/j.jmaa.2013.10.007 Zobrazit plný text záznamu Full Text from ScienceDirect