Well-posedness for the viscous shallow water equations in critical spaces

Details Well-posedness for the viscous shallow water equations in critical spaces Well-posedness for the viscous shallow water equations in critical spaces

2006-06-04

arxiv.org/abs/math/0606081v3

SIAM.J.Math.Anal. Vol40 (2008) 443-474

Mathematics

Analysis of PDEs

32 pages

Scientific paper

In this paper, we prove the existence and uniqueness of the solutions for the
2D viscous shallow water equations with low regularity assumptions on the
initial data as well as the initial height bounded away from zero.

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