arXiv Analytics

Sign in

arXiv:math/0606081 [math.AP]AbstractReferencesReviewsResources

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

Qionglei Chen, Changxing Miao, Zhifei Zhang

Published 2006-06-04, updated 2008-10-01Version 3

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.

Comments: 32 pages
Journal: SIAM.J.Math.Anal. Vol40 (2008) 443-474
Categories: math.AP
Subjects: 35Q35
Related articles: Most relevant | Search more
arXiv:1712.09546 [math.AP] (Published 2017-12-27)
Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces
arXiv:2011.14125 [math.AP] (Published 2020-11-28)
Non-uniform dependence on initial data for the 2D viscous shallow water equations
arXiv:2101.08586 [math.AP] (Published 2021-01-21)
Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces

Links

Toolbox