Skip to Main content Skip to Navigation
Journal articles

Strong solutions for a 1D viscous bilayer Shallow Water model

Abstract : In this paper, we consider a viscous bilayer shallow water model in one space dimension that represents two superposed immiscible fluids. For this model, we prove the existence of strong solutions in a periodic domain. The initial heights are required to be bounded above and below away from zero and we get the same bounds for every time. Our analysis is based on the construction of approximate system which satisfy the BD entropy and on the method developed by A. Mellet and A. Vasseur to obtain the existence of global strong solutions for the one dimensional Navier-Stokes equations.
Document type :
Journal articles
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download
Contributor : Carine Lucas <>
Submitted on : Thursday, February 7, 2013 - 9:30:13 AM
Last modification on : Friday, June 12, 2020 - 8:42:03 AM
Long-term archiving on: : Saturday, April 1, 2017 - 5:50:14 PM


Files produced by the author(s)




Jean de Dieu Zabsonré, Carine Lucas, Adama Ouedraogo. Strong solutions for a 1D viscous bilayer Shallow Water model. Nonlinear Analysis: Real World Applications, Elsevier, 2013, 14 (2), pp.1216 -- 1224. ⟨10.1016/j.nonrwa.2012.09.012⟩. ⟨hal-00664215v2⟩



Record views


Files downloads