Almost sure existence of global weak solutions to the 3D incompressible Navier-Stokes equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017215 ◽

2017 ◽

Vol 37 (9) ◽

pp. 5003-5019 ◽

Cited By ~ 1

Author(s):

Jingrui Wang ◽

◽

Keyan Wang ◽

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2017.12.002 ◽

2018 ◽

Vol 114 ◽

pp. 191-210 ◽

Cited By ~ 10

Author(s):

Ingrid Lacroix-Violet ◽

Alexis Vasseur

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Classical Limit ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equation

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Kinetic derivation of a finite difference scheme for the incompressible Navier–Stokes equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00857-9 ◽

2003 ◽

Vol 154 (2) ◽

pp. 341-354 ◽

Cited By ~ 2

Author(s):

Mapundi K. Banda ◽

Michael Junk ◽

Axel Klar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Stokes Equation ◽

Finite Difference Scheme ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.03.025 ◽

2007 ◽

Vol 196 (41-44) ◽

pp. 4045-4058 ◽

Cited By ~ 20

Author(s):

Erik Burman

Keyword(s):

Stokes Equation ◽

Multiscale Method ◽

Navier Stokes ◽

Variational Multiscale Method ◽

Navier Stokes Equation ◽

Interior Penalty ◽

Variational Multiscale ◽

Artificial Dissipation ◽

Incompressible Navier Stokes Equation

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Numerical Solution of the Incompressible Navier-Stokes Equation

An Introduction to Computational Fluid Mechanics by Example ◽

10.1002/9780470549162.ch4 ◽

2011 ◽

pp. 215-297

Keyword(s):

Numerical Solution ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Investigation of the Oldroyd model as a generalized incompressible Navier–Stokes equation via the interpolating stabilized element free Galerkin technique

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.08.025 ◽

2020 ◽

Vol 150 ◽

pp. 274-294 ◽

Cited By ~ 17

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Oldroyd Model ◽

Galerkin Technique ◽

Element Free Galerkin ◽

Element Free ◽

Incompressible Navier Stokes Equation

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VANISHING VISCOSITY LIMIT OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATION (ABSTRACT)

Functional-Analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations ◽

10.1142/9789812794550_0022 ◽

2001 ◽

pp. 248-249

Author(s):

K. ASANO

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Incompressible Navier Stokes Equation

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An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.052 ◽

2019 ◽

Vol 396 ◽

pp. 669-686 ◽

Cited By ~ 1

Author(s):

Chen Liu ◽

Florian Frank ◽

Faruk O. Alpak ◽

Béatrice Rivière

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Interior Penalty ◽

Galerkin Approach ◽

Permeability Estimation ◽

Incompressible Navier Stokes Equation

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A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier–Stokes equation

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109799 ◽

2020 ◽

Vol 422 ◽

pp. 109799

Author(s):

Xi Chen ◽

Yuwen Li ◽

Corina Drapaca ◽

John Cimbala

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equation ◽

Discontinuous Galerkin Methods ◽

Navier Stokes ◽

Galerkin Methods ◽

Unified Framework ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Shape Identification for Incompressible Navier-Stokes Equation Using Bubble Function Element Stabilization Method

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2004.17.745 ◽

2004 ◽

Vol 2004.17 (0) ◽

pp. 745-746

Author(s):

Junichi MATSUMOTO

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Stabilization Method ◽

Navier Stokes Equation ◽

Shape Identification ◽

Bubble Function ◽

Function Element ◽

Incompressible Navier Stokes Equation

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Casimir cascades in two-dimensional turbulence

Journal of Fluid Mechanics ◽

10.1017/jfm.2013.308 ◽

2013 ◽

Vol 729 ◽

pp. 364-376 ◽

Cited By ~ 5

Author(s):

John C. Bowman

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Fourth Power ◽

Two Dimensional ◽

Vorticity Field ◽

Navier Stokes Equation ◽

Small Scales ◽

Open Question ◽

Incompressible Navier Stokes Equation

AbstractIn addition to conserving energy and enstrophy, the nonlinear terms of the two-dimensional incompressible Navier–Stokes equation are well known to conserve the global integral of any continuously differentiable function of the scalar vorticity field. However, the phenomenological role of these additional inviscid invariants, including the issue as to whether they cascade to large or small scales, is an open question. In this work, well-resolved implicitly dealiased pseudospectral simulations suggest that the fourth power of the vorticity cascades to small scales.

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