The two-phase stefan problem: Regularization near lipschitz initial data by phase dynamics

Sunhi Choi; Inwon Kim

doi:10.2140/apde.2012.5.1063

The two-phase stefan problem: Regularization near lipschitz initial data by phase dynamics

Sunhi Choi, Inwon Kim

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

3 Scopus citations

Abstract

In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial Lipschitz data. A description of the regularizing phenomena is given in termsof the corresponding space-time scale.

Original language	English (US)
Pages (from-to)	1063-1103
Number of pages	41
Journal	Analysis and PDE
Volume	5
Issue number	5
DOIs	https://doi.org/10.2140/apde.2012.5.1063
State	Published - 2012

Keywords

Free boundary problem
Phase transition
Regularity near initial data
Stefan problem
Viscosity solutions

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.2140/apde.2012.5.1063

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title = "The two-phase stefan problem: Regularization near lipschitz initial data by phase dynamics",

abstract = "In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial Lipschitz data. A description of the regularizing phenomena is given in termsof the corresponding space-time scale.",

keywords = "Free boundary problem, Phase transition, Regularity near initial data, Stefan problem, Viscosity solutions",

author = "Sunhi Choi and Inwon Kim",

note = "Funding Information: I. Kim is partially supported by NSF grant number 0970072. MSC2010: 35K55, 35R35, 76D27. Keywords: free boundary problem, Stefan problem, phase transition, regularity near initial data, viscosity solutions.",

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AU - Choi, Sunhi

AU - Kim, Inwon

N1 - Funding Information: I. Kim is partially supported by NSF grant number 0970072. MSC2010: 35K55, 35R35, 76D27. Keywords: free boundary problem, Stefan problem, phase transition, regularity near initial data, viscosity solutions.

PY - 2012

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N2 - In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial Lipschitz data. A description of the regularizing phenomena is given in termsof the corresponding space-time scale.

AB - In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial Lipschitz data. A description of the regularizing phenomena is given in termsof the corresponding space-time scale.

KW - Free boundary problem

KW - Phase transition

KW - Regularity near initial data

KW - Stefan problem

KW - Viscosity solutions

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The two-phase stefan problem: Regularization near lipschitz initial data by phase dynamics

Abstract

Keywords

ASJC Scopus subject areas

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