$\mathbf{L^q}$ estimates of weak solutions to the stationary Stokes equations around a rotating body

HISHIDA, Toshiaki

J. Math. Soc. Japan, Tome 58 (2006) no. 3, p. 743-767 / Harvested from Project Euclid

Résumé

We establish the existence, uniqueness and $L^q$ estimates of weak solutions to the stationary Stokes equations with rotation effect both in the whole space and in exterior domains. The equation arises from the study of viscous incompressible flows around a body that is rotating with a constant angular velocity, and it involves an important drift operator with unbounded variable coefficient that causes some difficulties.

Publié le : 2006-07-14
Classification: Stokes flow, rotating body, exterior domain, $L^q$ estimate, 35Q30, 76D07

@article{1156342036,
     author = {HISHIDA, Toshiaki},
     title = {$\mathbf{L^q}$ estimates of weak solutions to the stationary Stokes equations around a rotating body},
     journal = {J. Math. Soc. Japan},
     volume = {58},
     number = {3},
     year = {2006},
     pages = { 743-767},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1156342036}
}

HISHIDA, Toshiaki. $\mathbf{L^q}$ estimates of weak solutions to the stationary Stokes equations around a rotating body. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp.  743-767. http://gdmltest.u-ga.fr/item/1156342036/