Results 31 to 40 of about 1,234 (67)

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

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

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

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, El-Sayed F. Elshehawey   +1 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, Norman R Lebovitz, Vollmer J, Waleffe F, Waleffe F Wang J Mullin T Kerswell R   +4 more
core   +1 more source

Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids

Advances in Mathematical Physics
MSC2010 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

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, Lemarié-Rieusset, Pierre Gilles, Mayoufi, Kawther   +2 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, Pokorny, Milan   +1 more
core   +1 more source

Local and global solvability for the Boussinesq system in Besov spaces

Open Mathematics
This article focuses on local and global existence and uniqueness for the strong solution to the Boussinesq system in Rn{{\mathbb{R}}}^{n} (n≥3n\ge 3) with full viscosity in Besov spaces.
Yan Shuokai, Wang Lu, Zhang Qinghua
doaj   +1 more source

On a viscous two-fluid channel flow including evaporation

Open Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source