Varying Boundary Conditions with Large Diffusivity,

Abstract

For systems of semilinear parabolic partial differential equations on bounded domains with large diffusivity and homogeneous boundary conditions close to the Newmann conditions, the authors associate a system of ordinary differential equations (ode's) from which the dynamics of the original system can be inferred. Small perturbations of the Newmann case produce large perturbations in the ode's with corresponding effects on the dynamics of the system. The same theory is valid for functional differential equations. Applications are considered in models for control by genetic repression of biological material in cells. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA158643

Entities

People

  • C. Rocha
  • J. K. Hale

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Cells
  • Cellular Structures
  • Difference Equations
  • Differential Equations
  • Diffusivity
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Topology
  • Two Dimensional
  • Variational Equations

Fields of Study

  • Biology
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Biotechnology