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Singular Limits for Models of Compressible, Viscous, Heat Conducting, and/or Rotating Fluids

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

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  • Eduard Feireisl

    (Institute of Mathematics, Academy of Sciences of the Czech Republic, Evolution Differential Equations (EDE))

Abstract

The complete set of equations describing the motion of a general compressible, viscous, heat-conducting, and possibly rotating fluid arises as a mathematical model in a large variety of real world applications. The scale analysis aims at two different objectives: Rigorous derivation of a simplified asymptotic set of equations and understanding the passage from the original primitive system to the simplified target system. These issues are discussed in the context of compressible, viscous, heat conducting, and/or rotating fluids.

Suggested Citation

  • Eduard Feireisl, 2018. "Singular Limits for Models of Compressible, Viscous, Heat Conducting, and/or Rotating Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 49, pages 2771-2825, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_70
    DOI: 10.1007/978-3-319-13344-7_70
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