Global Attractor for Caginalp Hyperbolic Field-phase System with Singular Potential

  •  Daniel Moukoko    
  •  Fidele Moukamba    
  •  Langa Franck Davhys Reval    


This article is devoted to the study of the Caginalp hyperbolic phase-field system with singular potentials. We first prove the existence and uniqueness of solutions for  Caginalp hyperbolic phase-field system with logarithmic potential. We then prove the existence of global attractor. One of main difficulties is to prove that the solutions are strictly separated from singular values of the potential.

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