Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610606 | Journal of Differential Equations | 2014 | 33 Pages |
Abstract
We consider the Ostrovsky equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the Ostrovsky-Hunter equation. 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
Mathematics
Analysis
Authors
Giuseppe Maria Coclite, Lorenzo di Ruvo,