Dual Extremum Principles for Dissipative Systems.
Abstract
Dual extremum principles characterizing the solution of initial-value problems for the heat equation and similar equations arising in dissipative systems are obtained by imbedding the initial-value problem in a two-point boundary-value problem for a system in which the original equation is coupled with its adjoint. Bounds on quantities of interest in the original initial-value problem and error bounds on the solution of this problem are obtained. Such principles are first obtained for a dissipative system on a Hilbert space and application then made to initial-value problems for the heat equation and the equations of slow viscous flow.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1976
- Accession Number
- ADA027962
Entities
People
- W. D. Collins
Organizations
- University of Wisconsin–Madison