Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)80018-8 ◽

1998 ◽

Vol 111 (1-4) ◽

pp. 311-334 ◽

Author(s):

Pierluigi Colli ◽

Philippe Laurençot

Keyword(s):

Heat Flux ◽

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Phase Field Model

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Existence of weak solutions and numerical simulations for a new phase-field model with periodic boundary conditions

10.22541/au.159144676.61206185 ◽

2020 ◽

Author(s):

Lixian Zhao ◽

Jiawei Mai ◽

Fang Cheng

Keyword(s):

Boundary Conditions ◽

Numerical Simulations ◽

Phase Field ◽

Weak Solutions ◽

Periodic Boundary ◽

Field Model ◽

Phase Field Model ◽

Periodic Boundary Conditions ◽

Existence Of Weak Solutions ◽

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Global Solution to the Penrose-Fife Phase Field Model with Special Heat Flux Laws

Solid Mechanics and Its Applications - IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics ◽

10.1007/978-94-011-4738-5_21 ◽

1999 ◽

pp. 181-188 ◽

Author(s):

Pierluigi Colli ◽

Philippe Laurençot ◽

Jürgen Sprekels

Keyword(s):

Heat Flux ◽

Global Solution ◽

Phase Field ◽

Field Model ◽

Phase Field Model

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Weak solutions of a phase-field model for phase change of an alloy with thermal properties

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.334 ◽

2002 ◽

Vol 25 (14) ◽

pp. 1177-1193 ◽

Author(s):

Jos� Luiz Boldrini ◽

Gabriela Planas

Keyword(s):

Thermal Properties ◽

Phase Change ◽

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Phase Field Model

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Global weak solutions to the 1D phase-field model with inhomogeneous elasticity

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.12.010 ◽

2021 ◽

Author(s):

Lixian Zhao ◽

Hang Cheng

Keyword(s):

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Phase Field Model ◽

Global Weak Solutions

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Convergence to equilibrium for a fully hyperbolic phase-field model with Cattaneo heat flux law

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1092 ◽

2009 ◽

Vol 32 (9) ◽

pp. 1156-1182 ◽

Author(s):

Jie Jiang

Keyword(s):

Heat Flux ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Convergence To Equilibrium ◽

Heat Flux Law ◽

Cattaneo Heat Flux

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Existence of global weak solutions for a phase-field model of a vesicle moving into a viscous incompressible fluid

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2912 ◽

2013 ◽

Vol 37 (10) ◽

pp. 1507-1526 ◽

Author(s):

Yuning Liu ◽

Takéo Takahashi

Keyword(s):

Incompressible Fluid ◽

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Viscous Incompressible Fluid ◽

Phase Field Model ◽

Global Weak Solutions

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Weak solutions and simulations to a new phase-field model with periodic boundary

Applicable Analysis ◽

10.1080/00036811.2020.1742883 ◽

2020 ◽

pp. 1-16

Author(s):

Lixian Zhao ◽

Jiawei Mai ◽

Fang Cheng

Keyword(s):

Phase Field ◽

Weak Solutions ◽

Periodic Boundary ◽

Field Model ◽

Phase Field Model ◽

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Convergence to equilibrium for a parabolic–hyperbolic phase field model with Cattaneo heat flux law

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.09.041 ◽

2008 ◽

Vol 341 (1) ◽

pp. 149-169 ◽

Author(s):

Jie Jiang

Keyword(s):

Heat Flux ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Convergence To Equilibrium ◽

Heat Flux Law ◽

Cattaneo Heat Flux

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The Conserved Penrose-Fife Phase Field Model with Special Heat Flux Laws and Memory Effects

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181074931 ◽

2002 ◽

Vol 14 (4) ◽

pp. 425-466 ◽

Author(s):

Elisabetta Rocca

Keyword(s):

Heat Flux ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

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Analysis of weak solutions for the phase-field model for lithium-ion batteries

Applied Mathematical Modelling ◽

10.1016/j.apm.2019.09.048 ◽

2020 ◽

Vol 78 ◽

pp. 185-199 ◽

Author(s):

Fang Cheng ◽

Ye Hu ◽

Lixian Zhao

Keyword(s):

Lithium Ion Batteries ◽

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Phase Field Model ◽

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