Shock Profiles and Self-Similar Fluid Dynamic Limits.

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1994
Accession Number
ADA304652

Entities

People

  • Athanasios E. Tzavaras
  • Marshall Slemrod

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Collisions
  • Computational Fluid Dynamics
  • Differential Equations
  • Discontinuities
  • Equations
  • Euler Equations
  • Formulas (Mathematics)
  • Kinetic Theory
  • Mean Free Path
  • Military Research
  • Theorems
  • Traveling Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics