Blow-up for the b-family of equations

Manuel Fernando Cortez Estrella

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arXiv · 1407.4084

Blow-up for the b-family of equations

Manuel Fernando Cortez Estrella

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Abstract

In this paper we consider the $b$-family of equations on the torus $u\_t- u\_{txx}+ (b+1) u u\_x=b u\_x u\_{xx} + u u\_{xxx}$, which for appropriate values of $b$ reduces to well-known models, such as the Camassa-Holm equation or the Degasperis-Procesi equation. We establish a local-in-space blow-up criterion

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Manuel Fernando Cortez Estrella. 2014-07-15. Blow-up for the b-family of equations. https://arxiv.org/abs/1407.4084

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