Accession Number:

ADA158643

Title:

Varying Boundary Conditions with Large Diffusivity,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1985-03-01

Pagination or Media Count:

42.0

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 odes from which the dynamics of the original system can be inferred. Small perturbations of the Newmann case produce large perturbations in the odes 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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE