Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems

Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and tak...
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Gespeichert in:

Autor*in:	Ahmad Makki [verfasserIn] Alain Miranville [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	Cahn-Hilliard equation Allen-Cahn equation well-posedness Willmore regularization

Übergeordnetes Werk:	In: Electronic Journal of Differential Equations - Texas State University, 2003, (2015), 04,, Seite 15
Übergeordnetes Werk:	year:2015 ; number:04, ; pages:15

Links:	Link aufrufen Link aufrufen Journal toc

Katalog-ID:	DOAJ00561239X

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allfieldsSound	(DE-627)DOAJ00561239X (DE-599)DOAJ02392d0da22b4bb0bf4569ac78e6b6c4 DE-627 ger DE-627 rakwb eng QA1-939 Ahmad Makki verfasserin aut Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and takes into account strong anisotropy effects. Cahn-Hilliard equation Allen-Cahn equation well-posedness Willmore regularization Mathematics Alain Miranville verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2015), 04,, Seite 15 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2015 number:04, pages:15 https://doaj.org/article/02392d0da22b4bb0bf4569ac78e6b6c4 kostenfrei http://ejde.math.txstate.edu/Volumes/2015/04/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 04, 15
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source	In Electronic Journal of Differential Equations (2015), 04,, Seite 15 year:2015 number:04, pages:15
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callnumber-first	Q - Science
author	Ahmad Makki
spellingShingle	Ahmad Makki misc QA1-939 misc Cahn-Hilliard equation misc Allen-Cahn equation misc well-posedness misc Willmore regularization misc Mathematics Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
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topic_title	QA1-939 Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems Cahn-Hilliard equation Allen-Cahn equation well-posedness Willmore regularization
topic	misc QA1-939 misc Cahn-Hilliard equation misc Allen-Cahn equation misc well-posedness misc Willmore regularization misc Mathematics
topic_unstemmed	misc QA1-939 misc Cahn-Hilliard equation misc Allen-Cahn equation misc well-posedness misc Willmore regularization misc Mathematics
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title	Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
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title_full	Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
author_sort	Ahmad Makki
journal	Electronic Journal of Differential Equations
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title_sort	well-posedness for one-dimensional anisotropic cahn-hilliard and allen-cahn systems
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title_auth	Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
abstract	Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and takes into account strong anisotropy effects.
abstractGer	Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and takes into account strong anisotropy effects.
abstract_unstemmed	Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and takes into account strong anisotropy effects.
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title_short	Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
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score	7.396736

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Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems

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