Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668729 | Bulletin des Sciences Mathématiques | 2016 | 36 Pages |
Abstract
We consider the Kawahara equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispersive equation converges to the unique entropy solution of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the LpLp setting.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Giuseppe Maria Coclite, Lorenzo di Ruvo,