Asymptotic uniform boundedness of energy solutions to the Penrose-Fife   model
  We study a Penrose-Fife phase transition model coupled with homogeneous Neumann boundary conditions. Improving previous results, we show that the initial value problem for this model admits a unique solution under weak conditions on the initial data. Moreover, we prove asymptotic regularization properties of weak solutions. 
Giulio Schimperna, Antonio Segatti, Sergey Zelik
math.AP