Solvability Of The 3d Rotating Navier-stokes Equations Coupled With A 2d Biharmonic Problem With Obstacles And Gradient Restriction

摘要

A coupled system by the 3D rotating Navier-Stokes equations with a mixed boundary condition and a 2D biharmonic problem with two obstacles and the gradient restriction is investigated in this paper. Using the Schauder's fixed point theorem, we show the existence of a strong solution for a sufficiently large viscosity v and sufficiently small data.