Results 1 to 10 of about 1,753 (93)
Tracking the vortex motion by using Brownian fluid particles [PDF]
The Physics of Fluids, 2021 In this paper we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initial vortices of the fluid flow in question then follows vortex dynamics ...
Z. Qian, Youchun Qiu, Yihuang Zhang
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Non-stationary Navier–Stokes equations in 2D power cusp domain
Advances in Nonlinear Analysis, 2021 The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered.
Pileckas Konstantin, Raciene Alicija
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Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations
CSIAM Transactions on Applied Mathematics, 2022 We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method.
Jie Shen null, Nan Zheng
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Global weak solution of 3D-NSE with exponential damping
Open Mathematics, 2022 In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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On the existence of global weak solutions of a 2D sediment transport model
Nonautonomous Dynamical Systems, 2022 In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499].
Zongo Yacouba +3 more
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On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model [PDF]
, 2009 The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D NavierStokes equations for the purpose of direct numerical simulations.
B. Levant, Fabio Ramos, E. Titi
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On the uniqueness for weak solutions of steady double-phase fluids
Advances in Nonlinear Analysis, 2021 We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1
Abdelwahed Mohamed +2 more
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On Current Developments in Partial Differential Equations
, 2020 The article is resulted from a round table discussion. The first part of it contains an overview on some important recent developments in the field of analysis and partial different equations.
F. Lin
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Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations
Communications in Mathematical Research, 2020 The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes ...
Siyu Liang
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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