Results 41 to 50 of about 190,798 (136)

The role of BKM-type theorems in $3D$ Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis

open access: yes, 2017
The Beale-Kato-Majda theorem contains a single criterion that controls the behaviour of solutions of the $3D$ incompressible Euler equations. Versions of this theorem are discussed in terms of the regularity issues surrounding the $3D$ incompressible ...
Gibbon, John D.   +3 more
core   +1 more source

Unconditional energy conservation and conditional regularity for the incompressible Navier-Stokes Maxwell system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
doaj   +1 more source

Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations [PDF]

open access: yes, 2017
The work described here shows that the known variational principle for the Navier-Stokes equations and the adjoint system can be modified to produce a set of Euler-Lagrange variational equations which have the same order and same solution as the Navier ...
Sajjadi, Shahrdad G.
core   +2 more sources

Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations

open access: yes, 2018
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse mesh
Biswas, Animikh   +3 more
core   +1 more source

Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and ‘volume diffusion’

open access: yesJournal of Physics Communications
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
doaj   +1 more source

Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations

open access: yesElectronic Journal of Differential Equations, 2016
This article presents the existence of reproductive solutions of g-Navier-Stokes and g-Kelvin-Voight equations. In this way, for weak solutions, we reach basically the same result as for classic Navier-Stokes equations.
Luis Friz   +2 more
doaj  

The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations

open access: yesJournal of Applied Mathematics, 2013
We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α ...
Wen-Juan Wang, Yan Jia
doaj   +1 more source

The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems

open access: yesJournal of Function Spaces, 2020
The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
Fan Geng, Shu Wang, Yongxin Wang
doaj   +1 more source

Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]

open access: yesModeling, Identification and Control, 1993
This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to ...
Ren Guang, Jens G. Balchen
doaj   +1 more source

About the new version of maximum principle of Navier-Stokes equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2015
The below shows the links of the extreme values of the velocity vector, the kinetic energy density and pressure of nonlinear Navier-Stokes equations.
A.Sh. Akysh
doaj  

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