On the Stokes equation with Neumann boundary condition

• Autorzy: Yoshihiro Shibata , Senjo Shimizu
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the nonstationary Stokes equation with Neumann boundary condition in a bounded or an exterior domain in ℝⁿ, which is the linearized model problem of the free boundary value problem. Mainly, we prove $L_p - L_q$ estimates for the semigroup of the Stokes operator. Comparing with the non-slip boundary condition case, we have the better decay estimate for the gradient of the semigroup in the exterior domain case because of the null force at the boundary.

Kategorie tematyczne

• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 239-250

Daty

wydano

2005

Twórcy

autor

Yoshihiro Shibata

• Department of Mathematical Sciences, Waseda University, Ohkubo 3-4-1, Shunjuku-ku, Tokyo 169-8555, Japan

autor

Senjo Shimizu

• Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan

Identyfikatory

DOI

10.4064/bc70-0-15