Asymptotic behaviour of a class of nonlinear heat conduction problems with memory effects

Bonaccorsi, Stefano and Da Prato, Giuseppe and Tubaro, Luciano (2011) Asymptotic behaviour of a class of nonlinear heat conduction problems with memory effects. UNSPECIFIED. (Unpublished)

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    Abstract

    In this paper, we investigate the existence and uniqueness problem for the solutions to a class of semilinear stochastic Volterra equations which arise in the theory of heat conduction with memory eects, where the heat source depends on the solution via a dissipative term. Further, we analyse the asymptotic behaviour of the solution and we prove the existence of a ergodic invariant measure.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA276 Mathematical Statistics
    Q Science > QA Mathematics > QA273 Probabilities
    Q Science > QA Mathematics > QA374.7 Partial differential equations
    Uncontrolled Keywords: integral stochastic equation, asymptotic behaviour, invariant measure
    Report Number: UTM 745
    Repository staff approval on: 25 Jul 2011

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