On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems.

Abstract

Some nonlinear stationary reaction-diffusion systems involving nonlinear terms which may be discontinuous are considered. Such systems occur, for instance, in the study of chemical reactions and the discontinuities correspond to reactions of order zero. In such concrete model, the set where the reactant vanishes plays an important role. Here we prove the existence of solutions for a general class of such systems satisfying Dirichlet or nonlinear boundary conditions. Necessary and sufficient conditions are given assuring that the reactant component vanishes on a set of positive measure. Estimates on the location of such set are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114577

Entities

People

  • J. Ildefonso Diaz
  • Jesus Hernandez

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Chemical Reactions
  • Combustion
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematics
  • Military Research
  • Nonlinear Differential Equations
  • North Carolina
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.