Two-Layer Shallow Water System: A Relaxation Approach
✍ Scribed by Abgrall, Rémi; Karni, Smadar
- Book ID
- 118190131
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 782 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1064-8275
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## Abstract A novel semi‐three‐dimensional (semi‐3D) layer‐integrated approach was proposed in this study for the shallow water free‐surface flow computation. A quadratic shape function proposed to approximate the velocity distribution in the layer ensures the continuity of velocities and shear str
We consider a two-component Degasperis-Procesi system which arises in shallow water theory. We analyze some aspects of blow up mechanism, traveling wave solutions and the persistence properties. Firstly, we discuss the local well-posedness and blow up criterion; a new blow up criterion for this syst