Results 21 to 30 of about 1,418 (68)
Ergodicity of stochastically forced large scale geophysical flows
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 6, Page 313-320, 2001., 2001 We investigate the ergodicity of 2D large scale quasigeostrophic flows under random wind forcing. We show that the quasigeostrophic flows are ergodic under suitable conditions on the random forcing and on the fluid domain, and under no restrictions on viscosity, Ekman constant or Coriolis parameter.
Jinqiao Duan, Beniamin Goldys
wiley +1 more source
Modelling of the Czochralski flow
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 1-40, 1998., 1998 The Czochralski method of the industrial production of a silicon single crystal consists of pulling up the single crystal from the silicon melt. The flow of the melt during the production is called the Czochralski flow. The mathematical description of the flow consists of a coupled system of six P.D.E.
Jan Franc
wiley +1 more source
Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations [PDF]
, 2007 This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global regularity holds under the condition that |u|/(log(1+|u|)) is integrable in ...
C. Chan, A. Vasseur
semanticscholar +1 more source
Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
wiley +1 more source
Initial values for the Navier-Stokes equations in spaces with weights in time
, 2014 We consider the nonstationary Navier-Stokes system in a smooth bounded domain Ω ⊂ R3 with initial value u0 ∈ Lσ(Ω). It is an important question to determine the optimal initial value condition in order to prove the existence of a unique local strong ...
R. Farwig, Y. Giga, Pen-Yuan Hsu
semanticscholar +1 more source
Shear‐free boundary in Stokes flow
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 145-150, 1996., 1996 A theorem of Harper for axially symmetric flow past a sphere which is a stream surface, and is also shear‐free, is extended to flow past a doubly‐body 𝔅 consisting of two unequal, orthogonally intersecting spheres. Several illustrative examples are given. An analogue of Faxen′s law for a double‐body is observed.
D. Palaniappan +2 more
wiley +1 more source
Shear-flow transition: the basin boundary
, 2009 The structure of the basin of attraction of a stable equilibrium point is investigated for a dynamical system (W97) often used to model transition to turbulence in shear flows.
Eckhardt B +4 more
core +1 more source
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids
Advances in Mathematical PhysicsWe establish the regularity criterion of weak solutions to the incompressible non‐Newtonian fluids with shear thinning viscosity in the whole space for in viewpoint of Vishik spaces.MSC2010 Classification: 76D05 ...
Jae-Myoung Kim
semanticscholar +1 more source
Arbitrary squeeze flow between two disks
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 779-782, 1994., 1992 A viscous incompressible fluid is contained between two parallel disks with arbitrarily shrinking width h(τ). The solution is obtained as a power series in a single nondimensional parameter (squeeze number) S, for small values of S in contrast to the multifold series solution obtained by Ishizawa in terms of an infinite set of nondimensional parameters.
R. Rukmani, R. Usha
wiley +1 more source
An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations
, 2009 We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.Comment: Submitted for the proceedings of the conference "Stochastic partial differential ...
Romito, Marco
core +1 more source