Global attractor for a nonlinear one-dimensional compressible viscous micropolar fluid

2018/06/05 by Huang, Lan, Yang, Xin-Guang, Lu, Yongjin +1
#35B40 #35B41 #35Q30 #76D03 #76D05 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.01462

Abstract

This paper considers the dynamical behavior of solutions of constitutive systems for 1D compressible viscous and heat-conducting micropolar fluids. With proper constraints on initial data, we prove the existence of global attractors in generalized Sobolev spaces H⁽¹⁾_δ and H⁽²⁾_δ.

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