Analysis of the coupled Navier-Stokes/Biot problem

作者：Cesmelioglu Aycil^*

来源：Journal of Mathematical Analysis and Applications, 2017, 456(2): 970-991.

DOI：10.1016/j.jmaa.2017.07.037

• Navier-Stokes
• Darcy
• Biot
• Poroelastic
• Weak formulation
• Existence

We analyze a weak formulation of the coupled problem defining the interaction between a free fluid and a poroelastic structure. The problem is governed by the time-dependent incompressible Navier Stokes equations and the Biot equations. Under a small data assumption, existence and uniqueness results are proved and a priori estimates are provided.

• 出版日期2017-12-15