Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958477 | Computers & Mathematics with Applications | 2017 | 21 Pages |
Abstract
We consider the modified Rosenau and the modified Benjamin-Bona-Mahony equations, which contain nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equations converge to entropy solutions of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the Lp setting.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Giuseppe Maria Coclite, Lorenzo di Ruvo,