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). (Intervento presentato al convegno Metodi e modelli della fisica matematica nelle scienze applicate tenutosi a Napoli nel 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
