Results 11 to 20 of about 1,244 (64)

Ergodicity of Stochastically Forced Large Scale Geophysical Flows

open access: yesInternational 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 ...
Duan, Jinqiao, Goldys, Beniamin
core   +3 more sources

Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth

open access: yesAdvances in Nonlinear Analysis, 2023
We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
doaj   +1 more source

Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations [PDF]

open access: yes, 2016
We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one.
Bessaih, Hakima   +2 more
core   +2 more sources

Large-time behavior of the weak solution to 3D Navier-Stokes equations [PDF]

open access: yes, 2012
The weak solution to the Navier-Stokes equations in a bounded domain $D \subset \mathbb{R}^3$ with a smooth boundary is proved to be unique provided that it satisfies an additional requirement. This solution exists for all $t \geq 0$. In a bounded domain
A.G. Ramm   +7 more
core   +4 more sources

A Single Cell‐Based Model of the Ductal Tumour Microarchitecture

open access: yesComputational and Mathematical Methods in Medicine, Volume 8, Issue 1, Page 51-69, 2007., 2007
The preinvasive intraductal tumours, such as the breast or prostate carcinomas, develop in many different architectural forms. There are, however, no experimental models explaining why cancer cells grow in these various configurations. We use a mathematical model to compare different proliferative conditions that can lead to such distinct ...
Katarzyna A. Rejniak, Robert H. Dillon
wiley   +1 more source

Stagnation‐point flow of the Walters′ B′ fluid with slip

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 61, Page 3249-3258, 2004., 2004
The steady two‐dimensional stagnation point flow of a non‐Newtonian Walters′ B′ fluid with slip is studied. The fluid impinges on the wall either orthogonally or obliquely. A finite difference technique is employed to obtain solutions.
F. Labropulu, I. Husain, M. Chinichian
wiley   +1 more source

Numerical studies of viscous incompressible flow between two rotating concentric spheres

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 2, Page 91-106, 2004., 2004
The problem of determining the induced steady axially symmetric motion of an incompressible viscous fluid confined between two concentric spheres, with the outer sphere rotating with constant angular velocity and the inner sphere fixed, is numerically investigated for large Reynolds number.
E. O. Ifidon
wiley   +1 more source

Conditions implying regularity of the three dimensional Navier-Stokes equation [PDF]

open access: yes, 2004
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac like inequalities. As part of
Jiang, Lingyu, Wang, Yidong
core   +5 more sources

An indirect boundary integral method for an oscillatory Stokes flow problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 2961-2976, 2003., 2003
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

open access: yesInternational 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

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