Living Reference Work Entry

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

pp 1-55

Date: Latest Version

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

  • Eduard FeireislAffiliated withEvolution Differential Equations (EDE), Institute of Mathematics, Academy of Sciences of the Czech Republic Email author 

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.