
Accession Number : ADA141708
Title : Dynamic Changes of Phase in a Van Der Waals Fluid.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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