On the Global Regularity of Sub-Critical Euler-Poisson Equations with Pressure

Abstract

We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual -law pressure, 1, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the 2 2 p-system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann invariants and density crosses an intrinsic critical threshold.

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Document Details

Document Type
Technical Report
Publication Date
Sep 09, 2006
Accession Number
ADA455652

Entities

People

  • Dongming Wei
  • Eitan Tadmor

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Differential Equations
  • Electronic Mail
  • Equations
  • Euler Equations
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Particles
  • Physical Sciences
  • Poisson Equation
  • Real Variables
  • Three Dimensional
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.