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Session S12 - Delay and functional differential equations and applications

Monday, July 12, 14:50 ~ 15:25 UTC-3

$L^p$-Solutions for Kelvin-Voigt Fluids with Unbounded Memory Terms

Pedro Danizete Damazio

Federal University of Paraná, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this work we consider systems of Kevin-Voigt type with distributed memories in the nonlinear and force terms. By setting the problem in the context of the analytic semigroups in Banach spaces, results on existence, uniqueness and regularity of weak, mild and classical solutions are established.

Joint work with Ana Leonor Silvestre (Instituto Superior Técnico - Lisboa, Portugal) and Patrícia Aparecida Manholi (Universidade Tecnológica Federal do Paraná - Curitiba, Brazil).

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