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arXiv · 1108.4550

On the Cauchy problem of a weakly dissipative $μ$HS equation

Jingjing Liu·Zhaoyang Yin
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Abstract

In this paper, we study the Cauchy problem of a weakly dissipative $μ$HS equation. We first establish the local well-posedness for the weakly dissipative $μ$HS 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.

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Jingjing Liu, Zhaoyang Yin. 2011-09-13. On the Cauchy problem of a weakly dissipative $μ$HS equation. https://arxiv.org/abs/1108.4550

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