Naslov
Solvability of the Navier-Stokes system with L-2 boundary data

Autori
Marusic-Paloka, Eduard

Izvornik
Applied mathematics and optimization (0095-4616) 41 (2000), 3; 365-375

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Navier-Stokes equations ; L2 boundary data ; existence of weak solution
(Navier-Stokes Equations ; L2 boundary data ; existence of weak solutions)

Sažetak
We prove the existence of the very weak solution of the Dirichlet's problem for the Navier-Stokes system with $L^2$ boundary data. Under the {; ; \em small data assumption}; ; we also prove the uniqueness. We use the penalisation method to study the linearized problem and then apply the Banach's fixed point theorem for the non-linear problem with small boundary data. We extend our result to the case with no {; ; \em small data assumption}; ; by splitting the data on large regular and small irregular part. }; ;

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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