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Singular Limits in Thermodynamics of Viscous Fluids

Singular Limits in Thermodynamics of Viscous Fluids

Hardcover

Series: Advances in Mathematical Fluid Mechanics

General MathematicsPhysics

ISBN10: 3319637800
ISBN13: 9783319637808
Publisher: Birkhauser
Published: Dec 13 2017
Pages: 524
Weight: 2.13
Height: 1.25 Width: 6.14 Depth: 9.21
Language: English

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.

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General Mathematics