Global solutions to the micropolar compressible flow with constant coefficients and vacuum

Publication date: February 2020Source: Nonlinear Analysis: Real World Applications, Volume 51Author(s): Ling Wan, Lan ZhangAbstractWe prove the global existence and uniqueness of strong solutions for an initial boundary value problem modeling the motion of the compressible micropolar fluids in one dimensional space. Compared with former studies, we are concerned with the nonisentropic case with constant transport coefficients and the initial density is allowed to have vacuum. Our analysis is based on the nonlinear energy method and the crucial step is to derive the uniform upper and lower bounds on the ratio of the density to its initial value.

Source: Nonlinear Analysis: Real World Applications - August 30, 2019 Category: Research Source Type: research