Results 101 to 110 of about 63,459 (307)
A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces
Abstract and Applied Analysis, 2012 We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers ...
Xiang'ou Zhu
doaj +1 more source
Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
, 1995 An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y., McNeil, C
core
Photothermal bubble: Dynamics, manipulation, and applications
Droplet, EarlyView.As a versatile platform for bubble manipulation, photothermal techniques empower diverse operations: planar translation by scanning the laser spot, sustained periodic bouncing from competing thermal and hydrodynamic flows, and even guided 3D trajectories achieved by tailoring the heating configuration.
Man Hu, Feng Wang, Daosheng Deng
wiley +1 more source
Large-time behavior of the weak solution to 3D Navier-Stokes equations
, 2012 The weak solution to the Navier–Stokes equations in a bounded domain D ⊂ R[superscript 3] with a smooth boundary is proved to be unique provided that it satisfies an additional requirement. This solution exists for all t ≥ 0.
Ramm, A.G., Ramm, Alexander G.
core +1 more source
On Local Relaxation Methods and Their Application to Convection-Diffusion Equations [PDF]
, 1981 This paper discusses local relaxation (LR) methods which can be regarded as generalizations of the successive overrelaxation (SOR) method. The difference is that within an LR method the relaxation factor is allowed to vary from equation to equation.
Veldman, Arthur E.P., +3 more
core +1 more source
Deep Underground Science and Engineering, EarlyView.Fluid flow through a single fracture is commonly described by the cubic law. However, deviations from this model are expected because natural fracture surfaces are rough and in contact with each other in discrete regions. In this study, the interactions between fracture closure, contact area, and hydraulic characterization of mesoscopic‐scale rough ...
Chenghao Han +5 more
wiley +1 more source
Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions
Electronic Journal of Differential Equations, 2016 We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that
Hani Ali, Petr Kaplicky
doaj
Journal of MathematicsIn the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
doaj +1 more source
On global regularity of 2D generalized magnetohydrodynamic equations
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +2 more
core +1 more source
Parametrization of global attractors experimental observations and turbulence [PDF]
, 2007 This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
core +1 more source