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Dipartimento di Matematica ''F. Casorati''

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Convergent finite difference scheme for compressible Navier-Stokes in three spatial dimensions

Dr. Hosek Radim, Mathematical Institute of the Czech Academy of Sciences, Prague

Sala Conferenze, IMATI-CNR - Martedì 20 Settembre 2016 h.15:00


Abstract. Motivated by works of Karper, we propose a finite difference scheme for the system of compressible Navier-Stokes equations and show its convergence to a weak solution of the problem. The proof follows the analytic proof of the existence of weak solutions to CNS system developed by Lions and uses discrete results analogous to the more famous continuous ones.

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