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
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE