Large Time Behavior of Spherically Symmetrical Micropolar Fluid on Unbounded Domain

Large Time Behavior of Spherically Symmetrical Micropolar Fluid on Unbounded Domain

This paper is concerned with the large-time behavior of solutions to the initial boundary value problem with large initial data for the compressible micropolar fluid model on an unbounded domain exterior to the unit ball in R 3 . Based on the energy-estimate method, we first show that the absolute t...

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Veröffentlicht in:Applied mathematics & optimization 2021-12, Vol.84 (Suppl 2), p.1607-1638
Hauptverfasser: Huang, Lan, Sun, Zhiying, Lu, Yongjin, Yang, Xin-Guang
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Boundary value problems
Calculus of Variations and Optimal Control
Optimization
Compressibility
Control
Domains
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Micropolar fluids
Numerical and Computational Physics
Optimization
Simulation
Systems Theory
Temperature
Theoretical
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Beschreibung
Zusammenfassung:This paper is concerned with the large-time behavior of solutions to the initial boundary value problem with large initial data for the compressible micropolar fluid model on an unbounded domain exterior to the unit ball in R 3 . Based on the energy-estimate method, we first show that the absolute temperature is uniformly bounded in time and then obtain the asymptotic stability of global solution.
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-021-09806-3