Solvability of the stationary Stokes system in spaces $H_{-\mu }^2$, $\mu \in (0,1)$

Ewa Zadrzyńska; Wojciech M. Zajączkowski

doi:10.4064/am37-1-2

Geodesic

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Solvability of the stationary Stokes system in spaces $H_{-\mu }^2$, $\mu \in (0,1)$

Ewa Zadrzyńska ¹ ; Wojciech M. Zajączkowski ²

¹ Faculty of Mathematics and Information Sciences Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland
² Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland

Applicationes Mathematicae, Tome 37 (2010) no. 1, pp. 13-38.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

We consider the stationary Stokes system with slip boundary conditions in a bounded domain. Assuming that data functions belong to weighted Sobolev spaces with weights equal to some power of the distance to some distinguished axis, we prove the existence of solutions to the problem in appropriate weighted Sobolev spaces.

DOI : 10.4064/am37-1-2

Keywords: consider stationary stokes system slip boundary conditions bounded domain assuming functions belong weighted sobolev spaces weights equal power distance distinguished axis prove existence solutions problem appropriate weighted sobolev spaces

Affiliations des auteurs :

Ewa Zadrzyńska ¹ ; Wojciech M. Zajączkowski ²

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Ewa Zadrzyńska; Wojciech M. Zajączkowski. Solvability of the stationary Stokes system in spaces $H_{-\mu }^2$, $\mu \in (0,1)$. Applicationes Mathematicae, Tome 37 (2010) no. 1, pp. 13-38. doi : 10.4064/am37-1-2. http://geodesic.mathdoc.fr/articles/10.4064/am37-1-2/

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