Accession Number:

ADA159705

Title:

Asymptotic Analysis of Non-Linear Elliptic and Parabolic Singular Perturbations.

Descriptive Note:

Final technical rept. Sep 82-Sep 85,

Corporate Author:

KATHOLIEKE UNIV NIJMEGEN FACULTEIT DER WISKUNDE EN NATUURWETENSCHAPPNE

Personal Author(s):

Report Date:

1985-09-01

Pagination or Media Count:

58.0

Abstract:

Some classes of Non-linear Second Order Elliptic and Parabolic Partial Differential Operators affected by the presence of a small parameter epsilon are investigated. The reduced problem epsilon 0 is characterized by the appearence of a free boundary of the solutions. The Existence, Uniqueness and regularity results are established for both perturbed and reduced problems. Sharp two-sided estimates for the difference of the solutions of the perturbed and reduced problems are proved and some constructive procedures are found out for localizing and computing the free boundary of the reduced problem. The Kinetic Theory of membranes with enzymotic activity is one of the possible fields of applications of the results established, the small parameter being the so-called Michaelis coefficient. Additional keywords Netherlands asymptotics calculus of variations convergence Cauchy problem. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE