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

Zhenhua Zhang;

doi:10.3934/cpaa.2005.4.683

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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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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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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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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ASYMPTOTIC BEHAVIOR OF VISCOUS 1–D SCALAR CONSERVATION LAWS WITH NEUMANN BOUNDARY CONDITIONS

Mathematics and Mathematics Education ◽

10.1142/9789812778390_0025 ◽

2002 ◽

Cited By ~ 2

Author(s):

CHONGSHENG CAO ◽

EDRISS S. TITI

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Conservation Laws ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions

Journal of Differential Equations ◽

10.1016/0022-0396(75)90084-4 ◽

1975 ◽

Vol 18 (1) ◽

pp. 111-134 ◽

Cited By ~ 73

Author(s):

Nathaniel Chafee

Keyword(s):

Asymptotic Behavior ◽

Parabolic Equation ◽

Boundary Conditions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

One Dimensional

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Well posedness and asymptotic behavior of a wave equation with distributed time‐delay and Neumann boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5682 ◽

2019 ◽

Vol 42 (13) ◽

pp. 4584-4605

Author(s):

Boumediène Chentouf ◽

Aissa Guesmia

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Time Delay ◽

Boundary Conditions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Well Posedness ◽

Distributed Time Delay

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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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Robust Exponential Attractors for Singularly Perturbed Phase-Field Equations with Dynamic Boundary Conditions

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-008-7029-9 ◽

2008 ◽

Vol 15 (4-5) ◽

pp. 535-556 ◽

Cited By ~ 10

Author(s):

Ciprian G. Gal ◽

Maurizio Grasselli ◽

Alain Miranville

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Singularly Perturbed ◽

Dynamic Boundary Conditions ◽

Field Equations ◽

Exponential Attractors ◽

Dynamic Boundary ◽

Phase Field Equations

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Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00435-7 ◽

2001 ◽

Vol 47 (5) ◽

pp. 3183-3194

Author(s):

T. Aiki ◽

A. Kadoya ◽

N. Sato

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Boundary Conditions ◽

Control Problem ◽

Phase Field ◽

Nonlinear Dynamic ◽

Dynamic Boundary Conditions ◽

Field Equations ◽

Dynamic Boundary ◽

Phase Field Equations

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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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