A review for an isotropic Landau model

Maria Gualdani; Nicola Zamponi

A review for an isotropic Landau model

Analysis of PDEs 2017-08-08 v1

Authors: Maria Gualdani , Nicola Zamponi

Abstract

We consider the equation $u_t = \mbox{Div}(a[u]\nabla u - u\nabla a[u])$ , $-\Delta a = u$ . This model has attracted some attention in the recents years and several results are available in the literature. We review recent results on existence and smoothness of solutions and explain the open problems.

Keywords

parabolic equations semilinear elliptic equations partial differential equations

Cite

@article{arxiv.1708.02097,
  title  = {A review for an isotropic Landau model},
  author = {Maria Gualdani and Nicola Zamponi},
  journal= {arXiv preprint arXiv:1708.02097},
  year   = {2017}
}

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