Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension

Mahir Hadzic

doi:10.1007/s00205-011-0463-6

Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension

Mahir Hadzic^*

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.

Original language	English
Pages (from-to)	719-745
Number of pages	27
Journal	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume	203
Issue number	3
DOIs	https://doi.org/10.1007/s00205-011-0463-6
Publication status	Published - Mar 2012

Keywords

PHASE-TRANSITION PROBLEMS
HELE-SHAW PROBLEM
CLASSICAL-SOLUTIONS
REGULARITY
UNIQUENESS
EXISTENCE

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title = "Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension",

abstract = "We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.",

keywords = "PHASE-TRANSITION PROBLEMS, HELE-SHAW PROBLEM, CLASSICAL-SOLUTIONS, REGULARITY, UNIQUENESS, EXISTENCE",

author = "Mahir Hadzic",

year = "2012",

month = mar,

doi = "10.1007/s00205-011-0463-6",

language = "English",

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N2 - We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.

AB - We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.

KW - PHASE-TRANSITION PROBLEMS

KW - HELE-SHAW PROBLEM

KW - CLASSICAL-SOLUTIONS

KW - REGULARITY

KW - UNIQUENESS

KW - EXISTENCE

U2 - 10.1007/s00205-011-0463-6

DO - 10.1007/s00205-011-0463-6

M3 - Article

SN - 0003-9527

VL - 203

SP - 719

EP - 745

JO - ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

JF - ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

IS - 3

ER -

Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension

Abstract

Keywords

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