Well-posedness and stationary solutions

Michael Grinfeld, Martin Burns

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we prove existence and uniqueness of variational inequality solutions
for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.
LanguageEnglish
Pages251-264
JournalCommunications in Applied Analysis
Volume15
Publication statusPublished - 2011

Fingerprint

Stationary Solutions
Well-posedness
Quasilinear Parabolic Equations
Variational Inequalities
Existence and Uniqueness
Phase Transition
Phase transitions

Keywords

  • well-posedness
  • quasilinear parabolic equation
  • solid-solid phase transitions

Cite this

@article{d6f383b39abf43fdbf7a5a7d5158a47e,
title = "Well-posedness and stationary solutions",
abstract = "In this paper we prove existence and uniqueness of variational inequality solutionsfor a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.",
keywords = "well-posedness, quasilinear parabolic equation , solid-solid phase transitions",
author = "Michael Grinfeld and Martin Burns",
year = "2011",
language = "English",
volume = "15",
pages = "251--264",
journal = "Communications in Applied Analysis",
issn = "1083-2564",
publisher = "Dynamic Publishers",

}

Well-posedness and stationary solutions. / Grinfeld, Michael; Burns, Martin.

In: Communications in Applied Analysis, Vol. 15, 2011, p. 251-264.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Well-posedness and stationary solutions

AU - Grinfeld, Michael

AU - Burns, Martin

PY - 2011

Y1 - 2011

N2 - In this paper we prove existence and uniqueness of variational inequality solutionsfor a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.

AB - In this paper we prove existence and uniqueness of variational inequality solutionsfor a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.

KW - well-posedness

KW - quasilinear parabolic equation

KW - solid-solid phase transitions

UR - http://www.mathstat.strath.ac.uk/downloads/publications/16jeff98.pdf

M3 - Article

VL - 15

SP - 251

EP - 264

JO - Communications in Applied Analysis

T2 - Communications in Applied Analysis

JF - Communications in Applied Analysis

SN - 1083-2564

ER -