Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model

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 δ ( 1 ) and H δ ( 2 ) . These attra...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2019-04, Vol.70 (2), p.1-20, Article 40
Main Authors: Huang, Lan, Yang, Xin-Guang, Lu, Yongjin, Wang, Taige
Format: Article
Language:English
Subjects:
Compressibility
Computational fluid dynamics
Engineering
Heat transmission
Mathematical Methods in Physics
Micropolar fluids
Sobolev space
Theoretical and Applied Mechanics
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Summary: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 δ ( 1 ) and H δ ( 2 ) . These attractors are unique in corresponding phase spaces.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-019-1083-5