| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4604192 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2014 | 13 Pages |
Abstract
In this paper, we study the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation. We first establish the local well-posedness for the weakly dissipative μ-Hunter–Saxton equation by Kato's semigroup theory. Then, we derive the precise blow-up scenario for strong solutions to the equation. Moreover, we present some blow-up results for strong solutions to the equation. Finally, we give two global existence results to the equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
