The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2010.28.67 ◽

2010 ◽

Vol 28 (1) ◽

pp. 67-98 ◽

Author(s):

Maurizio Grasselli ◽

◽

Alain Miranville ◽

Giulio Schimperna ◽

◽

...

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Singular Potentials ◽

Dynamic Boundary Conditions ◽

Field System ◽

Dynamic Boundary ◽

Phase Field System

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Corrigendum to “Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials” [J. Math. Anal. Appl. 343 (2008) 557–566]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.07.058 ◽

2008 ◽

Vol 348 (2) ◽

pp. 1029-1030 ◽

Author(s):

Laurence Cherfils ◽

Stefania Gatti ◽

Alain Miranville

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Global Solutions ◽

Singular Potentials ◽

Dynamic Boundary Conditions ◽

Field System ◽

Dynamic Boundary ◽

Phase Field System

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Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.01.077 ◽

2008 ◽

Vol 343 (1) ◽

pp. 557-566 ◽

Author(s):

Laurence Cherfils ◽

Stefania Gatti ◽

Alain Miranville

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Global Solutions ◽

Singular Potentials ◽

Dynamic Boundary Conditions ◽

Field System ◽

Dynamic Boundary ◽

Phase Field System

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Asymptotic behavior of a phase-field system with dynamic boundary conditions

Lecture Notes in Pure and Applied Mathematics - Differential Equations ◽

10.1201/9781420011135.ch9 ◽

2006 ◽

pp. 149-170 ◽

Author(s):

Stefania Gatti ◽

Alain Miranville

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Phase Field ◽

Dynamic Boundary Conditions ◽

Field System ◽

Dynamic Boundary ◽

Phase Field System

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A boundary control problem for a possibly singular phase field system with dynamic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.09.011 ◽

2016 ◽

Vol 434 (1) ◽

pp. 432-463 ◽

Author(s):

Pierluigi Colli ◽

Gianni Gilardi ◽

Gabriela Marinoschi

Keyword(s):

Boundary Conditions ◽

Control Problem ◽

Boundary Control ◽

Phase Field ◽

Dynamic Boundary Conditions ◽

Field System ◽

Boundary Control Problem ◽

Dynamic Boundary ◽

Phase Field System

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Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2012.5.485 ◽

2012 ◽

Vol 5 (3) ◽

pp. 485-505 ◽

Author(s):

Monica Conti ◽

◽

Stefania Gatti ◽

Alain Miranville ◽

◽

...

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Phase Field ◽

Dynamic Boundary Conditions ◽

Field System ◽

Dynamic Boundary ◽

Phase Field System

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Correction to: Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials

Applied Mathematics & Optimization ◽

10.1007/s00245-021-09771-x ◽

2021 ◽

Author(s):

Pierluigi Colli ◽

Andrea Signori ◽

Jürgen Sprekels

Keyword(s):

Optimal Control ◽

Tumor Growth ◽

Phase Field ◽

System Modelling ◽

Singular Potentials ◽

Field System ◽

Phase Field System

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The Penrose-Fife phase-field model with coupled dynamic boundary conditions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.4259 ◽

2014 ◽

Vol 34 (10) ◽

pp. 4259-4290 ◽

Author(s):

Alain Miranville ◽

Elisabetta Rocca ◽

Giulio Schimperna ◽

Antonio Segatti

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-015-0274-8 ◽

2015 ◽

Vol 18 (2) ◽

pp. 225-250 ◽

Author(s):

Costică Moroşanu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Nonlinear Dynamic ◽

General Class ◽

Transition System ◽

Well Posedness ◽

Dynamic Boundary Conditions ◽

Polynomial Nonlinearity ◽

Dynamic Boundary ◽

Field Transition

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Existence of Weak Solutions for a Hyperbolic-Parabolic Phase Field System with Mixed Boundary Conditions on Nonsmooth Domains

SIAM Journal on Mathematical Analysis ◽

10.1137/130949099 ◽

2015 ◽

Vol 47 (3) ◽

pp. 2044-2073 ◽

Author(s):

Christian Heinemann ◽

Christiane Kraus

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Weak Solutions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Existence Of Weak Solutions ◽

Field System ◽

Nonsmooth Domains ◽

Phase Field System

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The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2010.28.275 ◽

2010 ◽

Vol 28 (1) ◽

pp. 275-310 ◽

Author(s):

Alain Miranville ◽

◽

Sergey Zelik ◽

Keyword(s):

Boundary Conditions ◽

Singular Potentials ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation

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