On Strong Solutions of Regularized Model of a Viscoelastic Medium with Variable Boundary | Zendy

V. P. Orlov | Zendy

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On Strong Solutions of Regularized Model of a Viscoelastic Medium with Variable Boundary

Author(s) -

V. P. Orlov

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/407940

Subject(s) - uniqueness , viscoelasticity , mathematics , variable (mathematics) , mathematical analysis , integrable system , boundary value problem , boundary (topology) , planar , square (algebra) , physics , geometry , computer science , thermodynamics , computer graphics (images)

We consider the initial-value problem for systems of equations describing the evolutionof a viscoelastic medium with variable boundary with memory along the trajectories of avelocity field, which generalizes the Navier-Stokes system of equations. Nonlocal existenceand uniqueness theorem of strong solutions containing senior square-integrable derivatives in the planar case are established.

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