Results 31 to 40 of about 1,241 (68)
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
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
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
doaj +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
Eigenvalues of the time—dependent fluid flow problem I
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 139-144, 1990., 1988 The direct and inverse boundary value problems for the linear unsteady viscous fluid flow through a closed conduit of a circular annular cross‐section Ω with arbitrary time‐dependent pressure gradient under the third boundary conditions have been investigated.
El-Sayed M. Zayed +1 more
wiley +1 more source
Local stability of energy estimates for the Navier--Stokes equations
, 2017 We study the regularity of the weak limit of a sequence of dissipative solutions to the Navier--Stokes equations when no assumptions is made on the behavior of the ...
Chamorro, Diego +2 more
core +1 more source
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids
Advances in Mathematical PhysicsMSC2010 Classification: 76D05 ...
Jae-Myoung Kim
doaj +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
A stochastic perturbation of inviscid flows
, 2010 We prove existence and regularity of the stochastic flows used in the stochastic Lagrangian formulation of the incompressible Navier-Stokes equations (with periodic boundary conditions), and consequently obtain a $\holderspace{k}{\alpha}$ local existence
A. Chorin +12 more
core +1 more source
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics [PDF]
, 2002 We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin.
Montgomery-Smith, Stephen +1 more
core +1 more source