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.
Descriptors:
Subject Categories:
- Theoretical Mathematics