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
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
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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
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Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations [PDF]
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.
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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
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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
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Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations
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
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The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
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
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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
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Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]
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
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About the new version of maximum principle of Navier-Stokes equations
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
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