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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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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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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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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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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A residual-based Allen-Cahn phase field model for the mixture of incompressible fluid flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3910 ◽

2014 ◽

Vol 75 (9) ◽

pp. 645-667 ◽

Author(s):

D. F. M. Vasconcelos ◽

A. L. Rossa ◽

A. L. G. A. Coutinho

Keyword(s):

Incompressible Fluid ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Fluid Flows ◽

Incompressible Fluid Flows

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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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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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Weak solutions to a phase-field model with non-constant thermal conductivity

Quarterly of Applied Mathematics ◽

10.1090/qam/1486546 ◽

1997 ◽

Vol 55 (4) ◽

pp. 739-760 ◽

Author(s):

Ph. Laurençot

Keyword(s):

Thermal Conductivity ◽

Phase Field ◽

Weak Solutions ◽

Field Model ◽

Phase Field Model ◽

Constant Thermal Conductivity

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A THERMODYNAMICALLY CONSISTENT PHASE-FIELD MODEL FOR TWO-PHASE FLOWS AND ITS COMPUTATIONS

Proceeding of Proceedings of CHT-15. 6th International Symposium on ADVANCES IN COMPUTATIONAL HEAT TRANSFER , May 25-29, 2015, Rutgers University, New Brunswick, NJ, USA ◽

10.1615/ichmt.2015.intsympadvcomputheattransf.1750 ◽

2015 ◽

Author(s):

Ping Lin ◽

Zhenlin Guo

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Two Phase Flows ◽

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A phase-field model for simulation of the laser cladding process using a discontinuous viscosity variable and its approximation by finite element method

International Congress on Applications of Lasers & Electro-Optics ◽

10.2351/1.5060380 ◽

2004 ◽

Author(s):

Aaron Naber ◽

Richard Martukanitz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Laser Cladding ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Cladding Process ◽

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