𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

✍ Scribed by Shibata, Yoshihiro; Shimizu, Senjo

Book ID
118740439
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2008
Tongue
English
Weight
509 KB
Volume
2008
Category
Article
ISSN
0075-4102

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Lp-Lq maximal regularity of the N
On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
✍ Shibata, Yoshihiro; Shimizu, Senjo πŸ“‚ Article πŸ“… 2008 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 509 KB

In this paper, we prove the L p -L q maximal regularity of solutions to the Neumann problem for the Stokes equations with non-homogeneous boundary condition and divergence condition in a bounded domain. The result was first stated by Solonnikov [17], but he assumed that p ΒΌ q > 3 and considered only

On the Lp–Lq maximal regularity for Stok
On the Lp–Lq maximal regularity for Stokes equations with Robin boundary condition in a bounded domain
✍ Rieko Shimada πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 328 KB

## Abstract We obtain the __L__~__p__~–__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in ℝ^__n__^ (__n__β©Ύ2). The Robin condition consists of two conditions: __v__ β‹… __u__=0 and Ξ±__u__+Ξ²(__T__(__u__, __p__)__v__ – γ€ˆ__T__(__u__, __p__)__v__,

On the Lp–Lq maximal regularity for the
On the Lp–Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain
✍ Yuka Naito πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 261 KB

## Abstract This paper is concerned with the thermoelastic plate equations in a domain Ξ©: subject to the boundary condition: __u__|=__D__~Ξ½~__u__|=ΞΈ|=0 and initial condition: (__u, u__~__t__~, ΞΈ)|~__t__=0~=(__u__~0~, __v__~0~, ΞΈ~0~). Here, Ξ© is a bounded domain in ℝ^__n__^(__n__≧2). We assume tha

On the existence of Lp solutions of the
On the existence of Lp solutions of the magnetohydrodynamic equations in a bounded domain
✍ Takahiro Akiyama πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 125 KB

In this paper, we show the existence of L p solutions of the magnetohydrodynamic equations with the non-slip boundary condition and the perfect conducting wall boundary condition. The magnetohydrodynamic equations are a phenomenological model for magnetic uid.