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

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

2012-03-10

arxiv.org/abs/1203.2254v1

Applied Mathematics Letters 14 (2001)425-430

Physics

Mathematical Physics

Scientific paper

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.

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