Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: incompressible viscous barotropic self-gravitating fluid

Sortuj według:

Ogranicz wyniki do:

On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion

100%

Mucha P. B., Zajączkowski W.

Applicationes Mathematicae

2000

tom 27

nr 3

319-333

The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that $u\in W^{2,1}_r(\widetilde{{\mitΩ}}^T)$ with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the $L_p$-approach the Lagrangian coordinates must be used. We are looking for solutions with lowest possible regularity because this simplifies the proof and decreases the number of compatibility conditions.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Mucha P. B.

1 Zajączkowski W.

1 2000

Wyniki wyszukiwania

On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion