Well-posedness for the compressible Navier-Stokes-Lame system with a free interface

作者:Kukavica Igor*; Tuffaha Amjad
来源:Nonlinearity, 2012, 25(11): 3111-3137.
DOI:10.1088/0951-7715/25/11/3111

摘要

We address the system of fluid-structure interaction consisting of a compressible Navier-Stokes equation coupled with an elasticity equation, with the velocity and stress continuity requirements across the free moving interface. We prove the a priori estimates for existence of solutions when the initial velocity belongs to H-3, the initial density is bounded from below and belongs to H3/2+r, where r > 0, and the initial velocity of the displacement is in H3/2+r.

  • 出版日期2012-11