Global solutions and blow-up phenomena for the periodic b-equation
- Autores: S. Zhang, Zhaoyang Yin
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 2, 2010, págs. 482-500
- Idioma: inglés
- DOI: 10.1112/jlms/jdq044
- Enlaces
-
Resumen
In the paper, we mainly study the Cauchy problem of a family of asymptotically equivalent shallow water wave equations, the so called periodic b-equation. We first establish the local wellposedness for the periodic b-equation. Then we derive the precise blow-up scenario and present two blow-up results. Moreover, we show that the periodic b-equation has global strong solutions.
Finally, we prove the existence of global weak solutions to the periodic b-equation, provided that initial data satisfy certain sign conditions
¿Es nuevo? Regístrese
Ventajas de registrarse
