Asymptotic Behavior of Solutions to the Damped Quasilinear Equation.

Abstract

Asymptotic lower bounds for the L2 norms of solutions of initial-boundary value problems associated with the equation of the title are derived for a simple case in which the equation fails to exhibit strict hyperbolicity. It is shown that in such cases the norm of a solution will be bounded away from zero as t approaches infinity even as the damping factor gamma becomes infinitely large.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA096402

Entities

People

  • Frederick Bloom

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Equations
  • Flow
  • Fluid Dynamics
  • Mathematics
  • Mechanics
  • South Carolina
  • Steady Flow
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics