Accession Number:

ADA022748

Title:

Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-01-01

Pagination or Media Count:

24.0

Abstract:

The boundary value problem for a nonlinear, strongly coupled, parabolic system of differential equations in a box is considered. The system consists of 2 equations with 3 unknowns. The right sides of the differential equation satisfy Lipschitz conditions. Error bounds for an approximate solution are given. A uniqueness theorem is proven. The results are derived with the aid of the theory of differential inequalities and by using a theorem of Kolmogorov for the solution of the Landau problem.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE