Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417212 | Journal of Differential Equations | 2015 | 24 Pages |
Abstract
This paper deals with the Cauchy problem for a nonlinear equation modeling the evolution of the free surface for waves of moderate amplitude in the shallow water regime, which was proposed by Constantin and Lannes (2009) [20]. Applying the pseudoparabolic regularization technique, the local well-posedness of strong solutions in Sobolev space Hs(R) with s>3/2 is established via a limiting procedure. Moreover, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space Hs(R) with 1
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shouming Zhou,