Asymptotic Analysis of von Karman Flows.
Abstract
This paper is concerned with asymptotic expansions of solutions of von Karman's swirling flow problem. These expansions are used to prove the convergence of a class of approximative problems, which are set up by substituting the infinite interval on which von Karman's problem is posed, by a finite but large one and by imposing supplementary boundary conditions at the far end. The asymptotic expansions are crucial for the determination of the order of convergence. Exponential convergence is shown for well-posed approximative problems. The given approach is applicable to general nonlinear boundary value problems on infinite intervals, for which the von Karman problem may be considered as a model problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1980
- Accession Number
- ADA096643
Entities
People
- Peter A. Markowich
Organizations
- University of Wisconsin–Madison