NUMERICAL APPROXIMATION OF THE PHASE-FIELD TRANSITION SYSTEM WITH NON-HOMOGENEOUS CAUCHY-NEUMANN BOUNDARY CONDITIONS IN BOTH UNKNOWN FUNCTIONS VIA FRACTIONAL STEPS METHOD

Armel Andami Ovono;

doi:10.11948/2013028

NUMERICAL APPROXIMATION OF THE PHASE-FIELD TRANSITION SYSTEM WITH NON-HOMOGENEOUS CAUCHY-NEUMANN BOUNDARY CONDITIONS IN BOTH UNKNOWN FUNCTIONS VIA FRACTIONAL STEPS METHOD

Journal of Applied Analysis & Computation ◽

10.11948/2013028 ◽

2013 ◽

Vol 3 (4) ◽

pp. 377-397 ◽

Cited By ~ 1

Author(s):

Armel Andami Ovono ◽

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Numerical Approximation ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Field Transition

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Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy–Neumann Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630560902841120 ◽

2009 ◽

Vol 30 (3-4) ◽

pp. 199-213 ◽

Cited By ~ 10

Author(s):

T. Benincasa ◽

C. Moroşanu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Field Transition

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The phase-field transition system with non-homogeneous Cauchy–Stefan–Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity

Nonlinear Analysis ◽

10.1016/j.na.2013.04.001 ◽

2013 ◽

Vol 87 ◽

pp. 22-32 ◽

Cited By ~ 1

Author(s):

Costică Moroşanu

Keyword(s):

Thermal Conductivity ◽

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Transition System ◽

Neumann Boundary Conditions ◽

Constant Thermal Conductivity ◽

Field Transition

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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 ◽

Cited By ~ 3

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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Phase-field simulations of non-isothermal binary alloys solidification with Neumann boundary conditions

2011 Second International Conference on Mechanic Automation and Control Engineering ◽

10.1109/mace.2011.5986974 ◽

2011 ◽

Author(s):

Liu Qiang ◽

Yang Xiang-Jie ◽

Liu Zhi-Ling

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Binary Alloys ◽

Neumann Boundary ◽

Neumann Boundary Conditions

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The Quasistationary Phase Field Equations with Neumann Boundary Conditions

Journal of Differential Equations ◽

10.1006/jdeq.1999.3679 ◽

2000 ◽

Vol 162 (2) ◽

pp. 473-503 ◽

Cited By ~ 6

Author(s):

Reiner Schätzle

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Field Equations ◽

Phase Field Equations

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Asymptotic behavior of solutions to the phase-field equations with neumann boundary conditions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2005.4.683 ◽

2005 ◽

Vol 4 (3) ◽

pp. 683-693 ◽

Cited By ~ 28

Author(s):

Zhenhua Zhang ◽

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Asymptotic Behavior Of Solutions ◽

Field Equations ◽

Phase Field Equations

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Weak solutions and simulations to a square phase‐field crystal model with Neumann boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.8031 ◽

2022 ◽

Author(s):

Fan Wu ◽

Zixian Zhu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Weak Solutions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Crystal Model ◽

Phase Field Crystal

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On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy–Neumann and nonlinear dynamic boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.04.039 ◽

2016 ◽

Vol 40 (1) ◽

pp. 192-207 ◽

Cited By ~ 4

Author(s):

Alain Miranville ◽

Costică Moroşanu

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Nonlinear Dynamic ◽

Transition System ◽

Regularity Of Solutions ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Field Transition

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A generalization of the Caginalp phase-field system with Neumann boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2013.03.016 ◽

2013 ◽

Vol 87 ◽

pp. 11-21 ◽

Cited By ~ 4

Author(s):

Monica Conti ◽

Stefania Gatti ◽

Alain Miranville

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Field System ◽

Phase Field System

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Numerical approximation for the phase-field transition system

International Journal of Computer Mathematics ◽

10.1080/00207169608804538 ◽

1996 ◽

Vol 62 (3-4) ◽

pp. 209-221 ◽

Cited By ~ 5

Author(s):

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Costică Morosanu

Keyword(s):

Phase Field ◽

Numerical Approximation ◽

Transition System ◽

Field Transition

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