Abstract
We study a quasilinear nonlocal Benney system and establish the existence and uniqueness of strong local in time solutions to the corresponding Cauchy problem. We also show, under certain conditions, the blow-up of such solutions in finite time. Furthermore, we prove the existence of global weak solutions and exhibit bound-state solutions to this system.
Original language | English |
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Pages (from-to) | 135-156 |
Number of pages | 22 |
Journal | Journal of Hyperbolic Differential Equations |
Volume | 14 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Mar 2017 |
Keywords
- Benney systems
- Blow-up
- Bound-state solutions
- Cauchy problem