3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition

Speaker(s)

Mahdi Boukrouche

Affiliation

Jean Monnet University

Date

May 11, 2017, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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We consider a mathematical model which describes the motion of a 3D unsteady fluid flow governed by Navier-Stokes system, and subjected to mixed boundary conditions with a given velocity on one part of the boundary and nonlinear slip conditions with a memory term reminiscent of Coulomb’s friction law on the other part. We establish first some regularity properties and estimates for a simplified model. Then we prove the existence of a solution to our problem by using a successive approximation technique and compactness arguments based on Helly’s theorem for the velocity field.

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