Results 41 to 50 of about 2,204 (86)

A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations [PDF]

arXiv, 2021
We extend Barker's weak-strong uniqueness results for the Navier--Stokes equations and consider a criterion involving Besov spaces and weighted Lebesgue spaces.
arxiv  

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

Liouville Type Theorem for Stationary Navier-Stokes Equations [PDF]

, 2015
It is shown that any smooth solution to the stationary Navier-Stokes system in $R^3$ with the velocity field, belonging globally to $L_6$ and $BM0^{-1}$, must be zero.
arxiv   +1 more source

Strong solution of 3D-NSE with exponential damping [PDF]

arXiv, 2021
In this paper we prove the existence and uniqueness of strong solution of the incompressible Navier-Stokes equations with damping $\alpha (e^{\beta|u|^2}-1)u$.
arxiv  

Heat and Hall Effect of an Oscillating Plate in a Porous Medium [PDF]

, 2013
An exact solution of the flow of heat and viscous fluid on a porous plate by using perturbation is obtained for the conjugate problem of an electrically conducting fluid in the presence of strong magnetic field by introducing the Hall currents.
Okedoye, A.M.
core  

A new proof of existence in the L3-setting of solutions to the Navier-Stokes Cauchy problem [PDF]

arXiv, 2022
We investigate on the existence of solutions with initial datum U0 in L3. Our chief goal is to establish the existence interval (0,T) uniquely considering the size and the absolute continuity of |U0(x)|3.
arxiv  

Rayleigh-Benard convection of water conveying copper nanoparticles of larger radius and inter-particle spacing at increasing ratio of momentum to thermal diffusivities

Alexandria Engineering Journal, 2023
As in the case of enhancing the performance of high-temperature superconductors, the dynamics of colloidal mixes of water and copper-based nanoparticles exposed to an inclined magnetic field owing to free convection is a recognized issue.
Fuzhang Wang, Qasem M. Al-Mdallal, O.A. Famakinwa, I.L. Animasaun, Hanumesh Vaidya   +4 more
doaj  

Remarks on Liouville Type Theorems for Steady-State Navier-Stokes Equations [PDF]

, 2017
Liouville type theorems for the stationary Navier-Stokes equations are proven under certain assumptions. These assumptions are motivated by conditions that appear in Liouvile type theorems for the heat equations with a given divergence free drift.
arxiv   +1 more source

Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in $\mathbb{R}^3$ [PDF]

arXiv, 2023
The existence and uniqueness of global regular solution of incompressible Navier-Stokes equations in $\mathbb{R}^3$ are derived provided the initial velocity vector field holds a special structure.
arxiv  

Global Regularity for the Two-dimensional Boussinesq Equations Without Diffusivity in Bounded Domains

, 2018
We address the well-posedness for the two-dimensional Boussinesq equations with zero diffusivity in bounded domains. We prove global in time regularity for rough initial data: both the initial velocity and temperature have $\epsilon$ fractional ...
Zhou, Daoguo
core   +1 more source