Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model

作者：Schimperna Giulio^*; Segatti Antonio; Zelik Sergey

来源：Journal of Evolution Equations, 2012, 12(4): 863-890.

DOI：10.1007/s00028-012-0159-x

• Conserved Penrose-Fife model
• Very-fast diffusion
• Weak solution
• Uniform regularization properties

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.

• 出版日期2012-12