Accession Number:

AD0729052

Title:

Free Boundary Problems for Parabolic Equations.

Descriptive Note:

Final rept. 1 May 65-31 Dec 69,

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF MATHEMATICS

Personal Author(s):

• Kolodner,Ignace I.

Report Date:

1971-08-25

Pagination or Media Count:

7.0

Abstract:

A Free boundary problem is a boundary value problem for a partial Differential equation in a domain which is not fully known but must be also determined. This project is concerned with such problems when the PDE involved is of parabolic type. Problems of this type occur in practice in the study of change of phase e.g., evaporation, condensation, freezing, melting, sublimination, and are frequently called generalized Stefan problems. The specific objective was to study some special problems by reduction to equivalent integral equations, and to write a monograph on the subject. Author

Descriptors:

• (*PARTIAL DIFFERENTIAL EQUATIONS
• *PHASE STUDIES)
• (*BOUNDARY VALUE PROBLEMS
• INTEGRATION)
• CAUCHY PROBLEM
• DIFFUSION
• FREEZING
• SUBLIMATION
• CONDENSATION
• MELTING
• INTEGRAL EQUATIONS

Subject Categories:

• Physical Chemistry
• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE