Affiliation:
1. School of Mathematics and Physics, Qingdao University of Science and Technology , Qingdao 266061, People’s Republic of China
Abstract
We consider the existence, uniqueness and nonlinear stability of stationary solutions for the three-dimensional compressible micropolar fluids with the external force of general form. More precisely, with the weighted L2 and L∞ estimates on solutions to the linearized problem, we show the existence and uniqueness of stationary solutions in some suitable function space by the contraction mapping principle. The stability of the steady flow is studied by an elementary energy method.
Funder
National Natural Science Foundation of China