1203.2254 (M. De Angelis)

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

M. De Angelis

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.

View original: http://arxiv.org/abs/1203.2254