On the Stokes and Navier-Stokes flows
in a perturbed half-space

Takayuki Kubo; Yoshihiro Shibata

doi:10.4064/bc70-0-10

Wydawnictwa / Banach Center Publications / Wszystkie tomy

On the Stokes and Navier-Stokes flows in a perturbed half-space

Tom 70 / 2005

Takayuki Kubo, Yoshihiro Shibata Banach Center Publications 70 (2005), 157-167 MSC: Primary 76D07; Secondary 35B40. DOI: 10.4064/bc70-0-10

Streszczenie

We give the $L_p$-$L_q$ estimate for the Stokes semigroup in a perturbed half-space and some global in time existence theorems for small solutions to the Navier-Stokes equation.

Autorzy

Takayuki KuboDepartment of Mathematical Sciences
School of Science and Engineering, Waseda University
3-4-1, Ohkubo Shinjuku-ku, Tokyo 169-8555, Japan
e-mail
Yoshihiro ShibataDepartment of Mathematical Sciences
School of Science and Engineering, Waseda University
3-4-1, Ohkubo Shinjuku-ku, Tokyo 169-8555, Japan
e-mail

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