On a generalized resolvent estimate for the Stokes system with Robin boundary condition
スポンサーリンク
概要
- 論文の詳細を見る
We prove a generalized resolvent estimate of Stokes equations with nonhomogeneous Robin boundary condition and divergence condition in the Lq framework (1 < q < ∞) in a domain of Rn (n ≥ 2) that is a bounded domain or the exterior of a bounded domain. The Robin condition consists of two conditions: ν·u = 0 and αu + β(T(u,p)ν - <T(u,p)ν,ν>ν) = h on the boundary of the domain with α, β ≥ 0 and α + β = 1, where u denotes a velocity vector, p a pressure, T(u, p) the stress tensor for the Stokes flow, and ν the unit outer normal to the boundary of the domain. It presents the slip condition when β = 1 and the non-slip one when α = 1, respectively.
- 社団法人 日本数学会の論文
- 2007-04-01
著者
-
SHIMADA Rieko
Department of Materials Chemistry, Graduate School of Engineering, Osaka University
-
Shimada Rieko
Department Of Mathematical Sciences School Of Science And Engineering Waseda University
-
SHIBATA Yoshihiro
Department of Medicine and Biosystemic Science, Kyushu University Graduate School of Medical Science
-
Shibata Yoshihiro
Department Of By Preclinical Dmpk Tsukuba Research Institute Banyu Pharmaceutical Co. Ltd
-
Shibata Yoshihiro
Department Of Mathematical Sciences School Of Science And Engineering Waseda University
-
Shibata Yoshihiro
Department of Anesthesia, Kumamoto Saishunsou Hospital
関連論文
- The Improved Synthesis of OPC-29030, a Platelet Adhesion Inhibitor via Diastereoselective Oxidation of Chiral Non-racemic Sulfide
- Oxaliplatin-induced allergic reaction in patients with colorectal cancer in Japan
- [^S]Cysteine と [^C]Cyanide を用いた反応性代謝物の定量分析法
- A Novel Approach to the Prediction of Drug-Drug Interactions in Humans Based on the Serum Incubation Method
- On the Oseen semigroup with rotating effect(Mathematical Analysis in Fluid and Gas Dynamics)
- Free boundary problems for a viscous incompressible fluid(Kyoto Conference on the Navier-Stokes Equations and their Applications)
- Decay estimates of the Stokes flow around a rotating obstacle(Kyoto Conference on the Navier-Stokes Equations and their Applications)
- Low frequency expansion in thermoelasticity with second sound in three dimensions
- On a generalized resolvent estimate for the Stokes system with Robin boundary condition
- Isotonic hyponatremia and cerebrospinal fluid sodium during and after transurethral resection of the prostate
- On the L_p analytic semigroup associated with the linear thermoelastic plate equations in the half-space
- Low frequency expansion in thermoelasticity with second sound in three dimensions
- Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
- Repeated shock after suspected anaphylactic reaction to a pulmonary artery catheter
- Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem
- $L_p-L_q$ maximal regularity for the Stokes equation with first order boundary condition(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday)
- On the maximal L_p -L_p regularity of the Stokes problem with first order boundary condition ; model problems
- Liouville Type Theorem for a System $\{P(D)$, B$_j$(D), $\mathit{j}$=1,...,$\mathit{p}$\} of Differential Operators with Constant Coefficients in a Half Space
- Atrioventricular Block and Diastolic Dysfunction in a Patient with Sanfilippo C