Results 21 to 30 of about 1,234 (67)
An indirect boundary integral method for an oscillatory Stokes flow problem
The purpose of this paper is to present an indirect boundary integral method for the oscillatory Stokes flow provided by the translational oscillations of two rigid spheres in an incompressible Newtonian fluid of infinite expanse.
Mirela Kohr
wiley +1 more source
Unsteady stagnation point flow of a non‐Newtonian second‐grade fluid
The unsteady two‐dimensional flow of a viscoelastic second‐grade fluid impinging on an infinite plate is considered. The plate is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained.
F. Labropulu, X. Xu, M. Chinichian
wiley +1 more source
Feedback stabilization of semilinear heat equations
This paper is concerned with the internal and boundary stabilization of the steady‐state solutions to quasilinear heat equations via internal linear feedback controllers provided by an LQ control problem associated with the linearized equation.
V. Barbu, G. Wang
wiley +1 more source
Asymptotic stability of Landau solutions to Navier-Stokes system [PDF]
It is known that the three dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions, which are axisymmetric and homogeneous of degree -1.
Karch, Grzegorz, Pilarczyk, Dominika
core +2 more sources
Ergodicity of stochastically forced large scale geophysical flows
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
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
Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion
Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman +2 more
doaj +1 more source
Analysis of a mathematical model related to Czochralski crystal growth
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
Shear‐free boundary in Stokes flow
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
Arbitrary squeeze flow between two disks
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

