Results 21 to 30 of about 2,204 (86)
Unsteady stagnation point flow of a non‐Newtonian second‐grade fluid
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3797-3807, 2003., 2003 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
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 697-714, 2003., 2003 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
"Missing" boundary conditions? Discretize first, substitute next, and combine later [PDF]
, 1990 A simple approach exists to prevent the need for constructing boundary conditions in situations where they are not explicitly supplied by the original analytical formulation of the problem.
Veldman, Arthur E.P.,
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Advances in Nonlinear Analysis, 2019 H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
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A stochastic Lagrangian representation of the 3-dimensional incompressible Navier-Stokes equations [PDF]
, 2006 In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths. The particle trajectories obey SDEs driven by a uniform Wiener process; the inviscid Weber formula for the Euler ...
Beale +26 more
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A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component [PDF]
Commu. Pure Appl. Anal., 12 (2013), 117--124, 2011 We study the Cauchy problem for the 3D Navier-Stokes equations, and prove some scalaring-invariant regularity criteria involving only one velocity component.
arxiv +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
Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj +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
Existence of global weak solutions for Navier-Stokes equations with large flux [PDF]
, 2010 Global existence of weak solutions to the Navier-Stokes equation in a cylindrical domain under the slip boundary conditions and with inflow and outflow was proved. To prove the energy estimate, crucial for the proof, we use the Hopf function.
Renclawowicz, Joanna +1 more
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