Local well-posedness and blow-up of solutions for wave equations on shallow water with periodic depth
In this article, we consider a nonlinear evolution equation for surface waves in shallow water over periodic uneven bottom. The local well-posedness in Sobolev space $H^s(\mathbb{S})$ with $s>3/2$ is established by applying Kato's theory. Then a blow up criterion is determined in $H^s(\m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/07/abstr.html |