1207.2190 (Monica De Angelis)

On a non linear third - order parabolic equation    [PDF]

Monica De Angelis

Aim of this paper is the qualitative analysis of the solution 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.

View original: http://arxiv.org/abs/1207.2190