Well-posedness of Hydrodynamics on the Moving Elastic Surface

Details Well-posedness of Hydrodynamics on the Moving Elastic Surface Well-posedness of Hydrodynamics on the Moving Elastic Surface

2011-01-19

arxiv.org/abs/1101.3640v2

Mathematics

Analysis of PDEs

Two references are added

Scientific paper

The dynamics of a membrane is a coupled system of a moving elastic surface and an incompressible membrane fluid. The coupled system consists of parabolic equations, hyperbolic equations and an elliptic equation, but energy dissipation is satisfied. The coupling of including the moving curved space (geometric nonlinearity), the nonlinearity of the elastic force (elastic nonlinearity) and the nonlinearity of the fluid dynamics (fluid nonlinearity) makes the main difficulties in analyzing such a system. In this paper, we give a local existence and uniqueness result of the solution to the coupled system by reformulating the system into a new system in the isothermal coordinates. An appropriate iterative scheme is constructed and the consistency between the limit system and the original system is also proven.

Affiliated with

Also associated with

No associations

Rating

Well-posedness of Hydrodynamics on the Moving Elastic Surface 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 Well-posedness of Hydrodynamics on the Moving Elastic Surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Well-posedness of Hydrodynamics on the Moving Elastic Surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156135