Regularity and separation from potential barriers for a non-local phase-field system

被引：25

作者：

Londen, Stig-Olof ^{[2
]}

Petzeltova, Hana ^{[1
]}

机构：

[1] Inst Math AV CR, Prague 11567 1, Czech Republic

[2] Aalto Univ, Sch Sci & Technol, Helsinki 02015, Finland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 02期

关键词：

Non-local phase-field systems; Regularity of solutions; Separation property; Convergence to equilibria; CAHN-HILLIARD EQUATION; CONVERGENCE; MODEL;

D O I：

10.1016/j.jmaa.2011.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that solutions of a two-phase model involving a non-local interactive term become more regular immediately after the moment they separate from the pure phases. This result allows us to prove stronger convergence to equilibria. A new proof of the separation property is also given. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：724 / 735

页数：12

共 50 条

[21] A type III phase-field system with a logarithmic potential
Miranville, Alain
Quintanilla, Ramon
APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 1003 - 1008
[22] On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions
Carja, Ovidiu
Miranville, Alain
Morosanu, Costica
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 113 : 190 - 208
[23] The local and non-local components of the local field potential in awake primate visual cortex
Gawne, Timothy J.
JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 2010, 29 (03) : 615 - 623
[24] The local and non-local components of the local field potential in awake primate visual cortex
Timothy J. Gawne
Journal of Computational Neuroscience, 2010, 29 : 615 - 623
[25] ON A NON-LOCAL FIELD THEORY
WATAGHIN, G
NUOVO CIMENTO, 1953, 10 (11): : 1618 - 1620
[26] Regularity and separation from potential barriers for the Cahn-Hilliard equation with singular potential
Londen, Stig-Olof
Petzeltova, Hana
JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (03) : 1381 - 1393
[27] ε-regularity for systems involving non-local, antisymmetric operators
Schikorra, Armin
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (04) : 3531 - 3570
[28] Regularity and convergence results for a phase-field model with memory
Bonfanti, G
Luterotti, F
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (12) : 1085 - 1105
[29] THE SEPARATION OF THE OPTICAL-POTENTIAL FOR ELECTRON MOLECULE-SCATTERING INTO A LOCAL AND A NON-LOCAL PART
MEYER, HD
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1988, 21 (22) : 3777 - 3792
[30] Interface Conditions for a Phase Field Model with Anisotropic and Non-Local Interactions
Xinfu Chen
Gunduz Caginalp
Emre Esenturk
Archive for Rational Mechanics and Analysis, 2011, 202 : 349 - 372

← 1 2 3 4 5 →