Decay Rates of Solutions for the One-dimensional Compressible Micropolar Fluid Model
This paper is concerned with the time decay rates of strong solutions for the one-dimensional isentropic compressible micropolar fluid model with density-dependent viscosity.The pressure p(ρ)=ργ and the viscosity coefficient μ(ρ)=ρα for some parameters α,γ ∈ R are considered.By using a priori assumption and some refined energy estimates,we show that the global existence and large-time behavior of strong solutions with large initial data for the Cauchy problem under the perturbation of the constant state.Furthermore,by using the anti-derivative and time weighted energy method,the algebraic time decay rates for the specific volume v(t,x)and the velocity u(t,x)are also established.
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