Accession Number : ADA141708

Title :   Dynamic Changes of Phase in a Van Der Waals Fluid.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Hagan,R ; Serrin,J

PDF Url : ADA141708

Report Date : Mar 1984

Pagination or Media Count : 32

Abstract : This paper gives sufficient conditions to guarantee the existence of a shock layer solution connecting two different equilibrium states in a van der Waals fluid. In particular, the equilibrium states can belong to two different phases of the fluid. The constitutive laws come from a modified Korteweg theory which is compatible with the Clausius Duhem inequality. The Clausius Duhem inequality in turn gives rise to a Liapunov function. The main mathematical tool is the LaSalle invariance principle. (Author)

Descriptors :   *Fluid dynamics, *Phase, *Mathematical models, Equations, Shock, Layers, Solutions(General), Inequalities, Invariance, Entropy

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE