Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837016 | Nonlinear Analysis: Real World Applications | 2016 | 20 Pages |
Abstract
This paper is concerned with the stochastic integrable equation governing short-waves in a long-wave model. Firstly, the local well-posedness for this system is established by fixed point argument and (bilinear) trilinear estimates. Then the small time asymptotics of the equation is proved. The corresponding results for the stochastic Hunter–Saxton equation can be obtained by the same methods.
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Authors
Yong Chen, Hongjun Gao, Lili Fan,