Free-Boundary Problems for Potential and Stokes Flows via Nonsmooth Analysis

Srdjan Stojanovic; Tom Svobodny

doi:10.1137/S003614109324652X

Free-Boundary Problems for Potential and Stokes Flows via Nonsmooth Analysis

Srdjan Stojanovic, Tom Svobodny

Wright State University

Research output: Contribution to journal › Article › peer-review

Abstract

A new approach to some free boundary problems of the type of jets and cavities for potential flows is introduced. Both potential and Stokes flows are considered. The variable domain problems are relaxed so that they become nonsmooth optimization problems on fixed domains for somewhat singular state equations. State equations are considered, and multivalued generalized gradients of the variational functionals are studied. The method is constructive.

Original language	American English
Journal	SIAM Journal on Mathematical Analysis
Volume	26
DOIs	https://doi.org/10.1137/S003614109324652X
State	Published - May 1 1995

Keywords

FREE BOUNDARY
NONSMOOTH ANALYSIS
STOKES PROBLEM

Disciplines

Applied Mathematics
Applied Statistics
Mathematics
Physical Sciences and Mathematics
Statistics and Probability

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Free-Boundary Problems for Potential and Stokes Flows via NonsmooFinal published version, 1.91 MBLicense: Unspecified

Cite this

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title = "Free-Boundary Problems for Potential and Stokes Flows via Nonsmooth Analysis",

abstract = "A new approach to some free boundary problems of the type of jets and cavities for potential flows is introduced. Both potential and Stokes flows are considered. The variable domain problems are relaxed so that they become nonsmooth optimization problems on fixed domains for somewhat singular state equations. State equations are considered, and multivalued generalized gradients of the variational functionals are studied. The method is constructive.",

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AU - Stojanovic, Srdjan

AU - Svobodny, Tom

PY - 1995/5/1

Y1 - 1995/5/1

N2 - A new approach to some free boundary problems of the type of jets and cavities for potential flows is introduced. Both potential and Stokes flows are considered. The variable domain problems are relaxed so that they become nonsmooth optimization problems on fixed domains for somewhat singular state equations. State equations are considered, and multivalued generalized gradients of the variational functionals are studied. The method is constructive.

AB - A new approach to some free boundary problems of the type of jets and cavities for potential flows is introduced. Both potential and Stokes flows are considered. The variable domain problems are relaxed so that they become nonsmooth optimization problems on fixed domains for somewhat singular state equations. State equations are considered, and multivalued generalized gradients of the variational functionals are studied. The method is constructive.

KW - FREE BOUNDARY

KW - NONSMOOTH ANALYSIS

KW - STOKES PROBLEM

UR - https://corescholar.libraries.wright.edu/math/27

U2 - 10.1137/S003614109324652X

DO - 10.1137/S003614109324652X

M3 - Article

VL - 26

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

ER -

Free-Boundary Problems for Potential and Stokes Flows via Nonsmooth Analysis

Abstract

Keywords

Disciplines

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