Aim of this paper is the qualitative analysis of the solution of aboundary 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 deducethe asymptotic behaviour of the solution.
On a non linear third- order parabolic equation / DE ANGELIS, Monica. - (2000). ( Metodi e modelli della fisica matematica nelle scienze applicate Napoli 11-13 ottobre 2000).
On a non linear third- order parabolic equation
DE ANGELIS, MONICA
2000
Abstract
Aim of this paper is the qualitative analysis of the solution of aboundary 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 deducethe asymptotic behaviour of the solution.File in questo prodotto:
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