✦ LIBER ✦
On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results
✍ Scribed by María Luz Muñoz-Ruiz
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 316 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
In this paper, we present several results for a non-homogeneous bi-layer shallow-water model in depth-mean velocity formulation. The homogeneous case was studied in (Nonlinear Anal.: Real World Appl. 4(1) (2003) 139-171). In (On a non-homogeneous bi-layer shallow water problem: an existence theorem, Diff. and Integral Equations 17 (9-10) ( 2004) 1175-1200) we proved the existence of a solution for the non-homogeneous problem and now we give some smoothness and uniqueness results. The main difficulties in the non-homogeneous case arise from the treatment of the boundary terms.