The existence results for a new 2‐D compressible fluid model with the horizontal thermal gradient effect

Based on the Newton second law, the energy conservation law, the mass conversation law and the equation of state, a new 2‐D model for the motion of fluid flows with the horizontal thermal gradient effect is established. By using the characteristic method, the classic prior estimates and iterative te...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 2018-08, Vol.98 (8), p.1302-1319
Main Authors: Yang, Jiayan, Liu, Ruikuan
Format: Article
Language:English
Subjects:
35D05
35Q30
76N10
Compressible fluids
compressible Navier‐Stokes equations
Energy conservation
Energy conservation law
Equations of state
existence and uniqueness
heat conducting
horizontal thermal gradient effect
Iterative methods
Newton second law
strong solution
Temperature gradients
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Summary:Based on the Newton second law, the energy conservation law, the mass conversation law and the equation of state, a new 2‐D model for the motion of fluid flows with the horizontal thermal gradient effect is established. By using the characteristic method, the classic prior estimates and iterative technique, the local existence and uniqueness of strong solution for the new 2‐D model are proved. Based on the Newton second law, the energy conservation law, the mass conversation law and the equation of state, a new 2‐D model for the motion of fluid flows with the horizontal thermal gradient effect is established. By using the characteristic method, the classic prior estimates and iterative technique, the local existence and uniqueness of strong solution for the new 2‐D model are proved.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.201700176