Cauchy problem for viscous rotating shallow water equations

Details Cauchy problem for viscous rotating shallow water equations Cauchy problem for viscous rotating shallow water equations

2008-06-27

arxiv.org/abs/0806.4504v3

Journal of Differential Equations, 247 (2009), 3234-3257.

Mathematics

Analysis of PDEs

32 pages; to appear in Journal of Differential Equations, 2009

Scientific paper

10.1016/j.jde.2009.09.008

We consider the Cacuhy problem for a viscous compressible rotating shallow water system with a third-order surface-tension term involved, derived recently in the modelling of motions for shallow water with free surface in a rotating sub-domain. The global existence of the solution in the space of Besov type is shown for initial data close to a constant equilibrium state away from the vacuum. Unlike the previous analysis about the compressible fluid model without coriolis forces, the rotating effect causes a coupling between two parts of Hodge's decomposition of the velocity vector field, additional regularity is required in order to carry out the Friedrichs' regularization and compactness arguments.

Affiliated with

Also associated with

No associations

Rating

Cauchy problem for viscous rotating shallow water equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cauchy problem for viscous rotating shallow water equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cauchy problem for viscous rotating shallow water equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692878