Results 61 to 70 of about 1,753 (93)

Hydrodynamics, probability and the geometry of the diffeomorphisms group [PDF]

arXiv, 2008
We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold's description of the Euler flow.
arxiv  

Modelling of the fluid flow in a thin domain with injection through permeable boundary

European Journal of Applied Mathematics
In this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
doaj   +1 more source

Analytical Blowup Solutions to the 4-dimensional Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity [PDF]

arXiv, 2008
We study the 4-dimensional pressureless Navier--Stokes-Poisson equations with density-dependent viscosity. The analytical solutions with arbitrary time blowup, in radial symmetry, are constructed in this paper.
arxiv  

Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries

Advanced Nonlinear Studies
In this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ .
Dong Jianwei, Yuen Manwai
doaj   +1 more source

An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations [PDF]

arXiv, 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.
arxiv  

Analysis of nonlocal model of compressible fluid in 1-D [PDF]

arXiv, 2009
The compressible barotropic Navier-Stokes type system in monodimensional case with Neumann boundary condition given on free boundary is considered. The local and the global existence with uniformly boundedness for small viscosity coefficient is proved.
arxiv  

Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]

Entropy (Basel), 2022
Tang Q, Hou M, Xiao Y, Yin L.
europepmc   +1 more source

Lower bounds for the spectrum of the Laplace and Stokes operators [PDF]

arXiv, 2009
We prove Berezin--Li--Yau-type lower bounds with additional term for the eigenvalues of the Stokes operator and improve the previously known estimates for the Laplace operator. Generalizations to higher-order operators are given.
arxiv  

Minimal initial data for potential Navier-Stokes singularities [PDF]

arXiv, 2009
Assuming some \dot H^{1/2} - initial data lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal \dot H^{1/2} - norm which will produce a singularity.
arxiv  

Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]

Appl Math Optim, 2021
Brzeźniak Z, Dhariwal G, Le Gia QT.
europepmc   +1 more source