Results 11 to 20 of about 226,821 (298)
An extension to the Navier-Stokes equations to incorporate gas molecular collisions with boundaries [PDF]
, 2010 We investigate a model for micro-gas-flows consisting of the Navier-Stokes equations extended to include a description of molecular collisions with solid boundaries, together with first and second order velocity slip boundary conditions.
Reese, Jason M. +2 more
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this paper, we prove the global existence and uniqueness of the weak solutions to the inviscid velocity-vorticity model of the g-Navier-Stokes equations.
Meryem Kaya, Özge Kazar
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The Navier–Stokes regularity problem [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020 There is currently no proof guaranteeing that, given a smooth initial condition, the three-dimensional Navier–Stokes equations have a unique solution that exists for all positive times. This paper reviews the key rigorous results concerning the existence and uniqueness of solutions for this model.
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The structure of shock waves as a test of Brenner's modifications to the Navier-Stokes equations [PDF]
, 2007 Brenner (Physica A, vol. 349, 2005a, b, pp. 11, 60) has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range.
Reese, Jason M. +1 more
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On the Navier–Stokes equations on surfaces [PDF]
Journal of Evolution Equations, 2020 AbstractWe consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface$$\Sigma $$Σwithout boundary and flows along$$\Sigma $$Σ. Local-in-time well-posedness is established in the framework of$$L_p$$Lp-$$L_q$$Lq-maximal regularity.
Jan Prüss +2 more
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Intermittency and regularity issues in 3D Navier-Stokes turbulence [PDF]
, 2005 Two related open problems in the theory of 3 D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field.
Gibbon, J. D. +5 more
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A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]
, 1997 The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier--Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to ...
Lin, Ping
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Boundary Value Problems, 2019 In this paper, a linear, stabilized, non-spatial iterative, partitioned time stepping method is developed and studied for the nonlinear Navier–Stokes/Navier–Stokes interaction.
Jian Li +3 more
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Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations [PDF]
, 2010 We outline a new class of robust and efficient methods for solving the Navier–Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit ...
D.J. Silvester +17 more
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Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization [PDF]
, 2013 http://dx.doi.org/10.1016/j.amc.2013.02.022Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form.
ALLERY, Cyrille +2 more
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