| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615966 | Journal of Mathematical Analysis and Applications | 2014 | 20 Pages |
Abstract
We study Cauchy problem in RNRN 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tomasz Dlotko, Maria B. Kania, Shan Ma,