A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces
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
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Resolução de sistemas lineares gerados na discretização das equções de Navier-Stokes em malhas de voronoi [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro TecnologicoEsta dissertação descreve, analisa e implementa métodos iterativos da família do Gradiente Conjugado (GC), na solução de sistemas lineares resultantes da discretização das
Mariani, Viviana Cocco
core
Spectral Submanifolds of the Navier–Stokes Equations
Spectral subspaces of a linear dynamical system identify a large class of invariant structures that highlight/isolate the dynamics associated to select subsets of the spectrum. The corresponding notion for nonlinear systems is that of spectral submanifolds -- manifolds invariant under the full nonlinear dynamics that are determined by their tangency to
openaire +4 more sources
This paper is interested in the existence of singularities for solutions of the Navier–Stokes equations in the whole space. We demonstrate the existence of initial data that leads to the unboundedness of the corresponding strong solution within a finite ...
Abdelhafid Younsi
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Accumulated facts and information about the Navier-Stokes equations, together with a large number of experiments and approximate calculations, made it possible to reveal some discrepancies between the mathematical model of a viscous melt and real ...
S.Sh. Kazhikenova +3 more
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Uniform Error Estimates of the Finite Element Method for the Navier-Stokes Equations in R2 with L2 Initial Data. [PDF]
Ren S, Wang K, Feng X.
europepmc +1 more source
SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP
This article discusses the solution of the linear Navier-Stokes-Korteweg model in considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the ...
Jihandika Prayugo +3 more
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Radial Basis Function Finite Difference Method Based on Oseen Iteration for Solving Two-Dimensional Navier-Stokes Equations. [PDF]
Mu L, Feng X.
europepmc +1 more source
On global regularity of 2D generalized magnetohydrodynamic equations [PDF]
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
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Error estimates and physics informed augmentation of neural networks for thermally coupled incompressible Navier Stokes equations. [PDF]
Goraya S, Sobh N, Masud A.
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