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

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

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.

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

scholarly journals Distributed optimal control of a nonstandard nonlocal phase field system

2016 ◽  
Vol 1 (3) ◽  
pp. 225-260 ◽  
Author(s):  
Pierluigi Colli ◽  
◽  
Gianni Gilardi ◽  
Jürgen Sprekels
Keyword(s):  
Optimal Control ◽  
Phase Field ◽  
Distributed Optimal Control ◽  
Field System ◽  
Phase Field System
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