The aim of this paper is the qualitative analysis of a boundary value problem for a third order nonlinear 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 .
Asymptotic Analysis for the Strip Problem Related to a Parabolic Third-Order Operator / DE ANGELIS, Monica. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 14 no 4:(2001), pp. 425-430.
Asymptotic Analysis for the Strip Problem Related to a Parabolic Third-Order Operator.
DE ANGELIS, MONICA
2001
Abstract
The aim of this paper is the qualitative analysis of a boundary value problem for a third order nonlinear 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 .File in questo prodotto:
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