Mathematical Theory of Hyperbolic Systems of Conservation Laws

Abstract

The Final Proceedings for Mathematical Theory of Hyperbolic Systems of Conservation Laws, 24 March 2002 - 4 April 2003 The first week will focus on recent developments on the theory of one-dimensional, nonlinear hyperbolic systems of conservation laws including: entropy conditions, L1 well-posedness, singular limits, diffusive approximations, relaxation models, kinetic relations, shock wave structure, links with thermodynamics, and compressible fluid dynamics. The second week will focus on multidimensional aspects of hyperbolic conservation laws and on computational methods with applications to multiphase flows. A partial list of topics includes: existence theory for multidimensional hyperbolic equations, transonic flow models, mathematical modeling of liquid-vapor flows, numerical schemes for multiphase flows, nonconservative hyperbolic systems, real fluids, and material solid or fluid interfaces.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2003
Accession Number
ADA427032

Entities

People

  • P. Lefloch

Organizations

  • University of Cambridge

Tags

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Dynamics
  • Entropy
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluids
  • Materials
  • Multiphase Flow
  • Physics
  • Shock
  • Shock Waves
  • Thermodynamics
  • Transonic Flow
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Technical Research and Report Writing.