scholarly journals Existence and Uniqueness of Solution for Cahn-Hilliard Hyperbolic Phase-Field System with Dirichlet Boundary Condition and Regular Potentials

2016 ◽  
Vol 07 (16) ◽  
pp. 1919-1926
Author(s):  
Jean De Dieu Mangoubi ◽  
Daniel Moukoko ◽  
Fidele Moukamba ◽  
Franck Davhys Reval Langa
Keyword(s):  
Boundary Condition ◽  
Phase Field ◽  
Dirichlet Boundary Condition ◽  
Existence And Uniqueness ◽  
Dirichlet Boundary ◽  
Uniqueness Of Solution ◽  
Field System ◽  
Phase Field System

Study of the dissipativity, global attractor and exponential attractor for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms

2020 ◽  
pp. 1-28
Author(s):  
Urbain Cyriaque Mavoungou ◽  
Narcisse Batangouna ◽  
Franck Davhys Reval Langa ◽  
Daniel Moukoko ◽  
Macaire Batchi
Keyword(s):  
Boundary Condition ◽  
Global Attractor ◽  
Phase Field ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Exponential Attractor ◽  
Field System ◽  
Phase Field System

In this paper, we study of the dissipativity, global attractor and exponential attractor for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms, with initial and homogenous Dirichlet boundary condition.

scholarly journals Existence and Uniqueness of Solution for Caginalp Hyperbolic Phase- Field System with a Polynomial Potential

2018 ◽  
Vol 10 (1) ◽  
pp. 124
Author(s):  
Franck Davhys Reval Langa ◽  
Daniel Moukoko ◽  
Dieudonn Ampini ◽  
Fidle Moukamba
Keyword(s):  
Bounded Domain ◽  
Phase Field ◽  
Existence And Uniqueness ◽  
Dirichlet Boundary ◽  
Initial Conditions ◽  
Uniqueness Of Solution ◽  
Uniqueness Of Solutions ◽  
Polynomial Potential ◽  
Field System ◽  
Phase Field System

We prove the existence and the uniqueness of solutions for Caginalp hyperbolic phase-field system with initial conditions, Dirichlet boundary homogeneous conditions and a regular potential of order $2p-1$, in bounded domain.

scholarly journals Existence and uniqueness of solution for Cahn-Hilliard hyperbolic phase field system with Dirichlet boundary conditions and polynomial potential

2018 ◽  
Vol 7 (1) ◽  
pp. 10
Author(s):  
A. J. Bissouesse ◽  
Daniel Moukoko ◽  
Franck Langa ◽  
Macaire Batchi
Keyword(s):  
Boundary Conditions ◽  
Phase Field ◽  
Dirichlet Boundary ◽  
Initial Conditions ◽  
Dirichlet Boundary Conditions ◽  
Uniqueness Of Solution ◽  
Polynomial Potential ◽  
Field System ◽  
Phase Field System ◽  
Homogeneous Dirichlet Boundary Conditions

Our aim in this article is to study the existence and the uniqueness of solution for Cahn-Hilliard hyperbolic phase-field system, with initial conditions, homogeneous Dirichlet boundary conditions, polynomial potential in a bounded and smooth domain.

Existence and uniqueness of solution for Caginalp hyperbolic phase-field system with a singular potential

2016 ◽  
Vol 4 ◽  
pp. 151-160
Author(s):  
Urbain Cyriaque Mavoungou ◽  
Fidele Moukamba ◽  
Daniel Moukoko ◽  
Franck Davhys Reval Langa
Keyword(s):  
Phase Field ◽  
Existence And Uniqueness ◽  
Singular Potential ◽  
Uniqueness Of Solution ◽  
Field System ◽  
Phase Field System

Existence and uniqueness of solution for Caginalp hyperbolic phase field system with polynomial growth potential

2015 ◽  
Vol 10 ◽  
pp. 477-486 ◽  
Author(s):  
Mayeul Evrard Isseret Goyaud ◽  
Fidele Moukamba ◽  
Daniel Moukoko ◽  
Franck Davhys Reval Langa
Keyword(s):  
Phase Field ◽  
Existence And Uniqueness ◽  
Polynomial Growth ◽  
Growth Potential ◽  
Uniqueness Of Solution ◽  
Field System ◽  
Phase Field System

Existence and uniqueness solution for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms

2019 ◽  
Vol 116 (1) ◽  
pp. 41-72 ◽  
Author(s):  
Urbain Cyriaque Mavoungou ◽  
Daniel Moukoko ◽  
Franck Davhys Reval Langa ◽  
Dieudonné Ampini
Keyword(s):  
Phase Field ◽  
Existence And Uniqueness ◽  
Field System ◽  
Phase Field System
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