English

Asymptotic analysis for the strip problem related to a parabolic third - order operator

Mathematical Physics 2012-03-13 v1 math.MP

Abstract

Aim of this paper is the qualitative analysis of a boundary value problem for a third order non linear parabolic equation which describes several dissipative models. When the source term is linear, the problem is explictly solved by means of a Fourier series with properties of rapid convergence. In the non linear case, appropriate estimates of this series allow to deduce the asymptotic behaviour of the solution.

Keywords

Cite

@article{arxiv.1203.2254,
  title  = {Asymptotic analysis for the strip problem related to a parabolic third - order operator},
  author = {M. De Angelis},
  journal= {arXiv preprint arXiv:1203.2254},
  year   = {2012}
}