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Applied and computational Analysis Seminars

Nonlinear localization and regularity of solutions of Brinkman-Forchheimer type equations

With Sergey Zelik – University of Surrey

Nonlinear localization and regularity of solutions of Brinkman-Forchheimer type equations

We will discus the regularity of Navier-Equations in 3D with Forchheimer nonlinearities including the case of slightly compressible equations. The main attention will be paid to the case of Dirichlet boundary conditions and fast growing nonlinearities. Some results about the long-time behaviour of the corresponding solutions will be also stated.

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