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arXiv · 1203.2254

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

M. De Angelis
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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.

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M. De Angelis. 2012-03-10. Asymptotic analysis for the strip problem related to a parabolic third - order operator. https://arxiv.org/abs/1203.2254

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