Accession Number : ADA304652
Title : Shock Profiles and Self-Similar Fluid Dynamic Limits.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
Personal Author(s) : Slemrod, Marshall ; Tzavaras, Athanasios E.
PDF Url : ADA304652
Report Date : DEC 1994
Pagination or Media Count : 14
Abstract : Consider the fluid dynamic limit problem for the Broadwell system of the kinetic theory of gases, for Riemann, Maxwellian initial data. The formal limit is the Riemann problem for a pair of conservation laws and is invariant under dilations of coordinates. We are interested on the structure of shock solutions entailed by fluid-dynamic limits. We review certain results on the existence of shock profiles for the Broadwell model and on the approach of self-similar fluid dynamic limits, and carry out comparisons between the two methods.
Descriptors : *MATHEMATICAL MODELS, *SHOCK WAVES, *COMPUTATIONAL FLUID DYNAMICS, GAS DYNAMICS, SOLUTIONS(GENERAL), PROFILES, BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, MAXWELLS EQUATIONS, VISCOUS FLOW, TRAVELING WAVES, KINETIC THEORY.
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE