The Boltzmann Equation with a Soft Potential. Part II. Nonlinear, Spatially-Periodic.

Abstract

The results of Part I are extended to include linear spatially periodic problems - solutions of the initial value are shown to exist and decay like exp(- lambda (t to the beta power)). Then the full non-linear Boltzmann equation with a soft potential is solved for initial data close to equilibrium. The non-linearity is treated as a perturbation of the linear problem, and the equation is solved by iteration. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA083813

Entities

People

  • Russel E. Caflisch

Organizations

  • University of Wisconsin–Madison

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  • C4I

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Continents
  • Eigenvalues
  • Equations
  • Inequalities
  • Integrals
  • Iterations
  • Linearity
  • Mathematics
  • Military Research
  • North Carolina
  • Perturbation Theory
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Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis