Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids

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dc.creatorKatriel, Guy
dc.creatorKupferman, Raz
dc.creatorTiti, Edriss S.
dc.date2007-10-12
dc.date.accessioned2026-07-07T08:35:56Z
dc.date.available2026-07-07T08:35:56Z
dc.descriptionWe study a class of quadratic, infinite-dimensional dynamical systems, inspired by models for viscoelastic fluids. We prove that these equations define a semi-flow on the cone of positive, essentially bounded functions. As time tends to infinity, the solutions tend to an equilibrium manifold in the $L^2$-norm. Convergence to a particular function on the equilibrium manifold is only proved under additional assumptions. We discuss several possible generalizations.
dc.identifierhttps://arxiv.org/abs/0710.2384
dc.identifierhttp://arxiv.org/abs/0710.2384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139908
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject35F25, 37C70, 35Q72.
dc.titleLong-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids
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