Results 41 to 50 of about 18,092 (161)
On unbiased stochastic Navier–Stokes equations [PDF]
Probability Theory and Related Fields, 2011 A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u\nabla u.
Mikulevicius, R., Rozovskii, B. L.
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Electronic Journal of Qualitative Theory of Differential EquationsIn 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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Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions
Electronic Journal of Differential Equations, 2017 In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
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The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations [PDF]
Bulletin de la Société mathématique de France, 1999 In the periodic three-dimensional Navier-Stokes equations \(\partial _tu+u\cdot \nabla u-\nu \Delta u=-\nabla p, div u=0, u_{t=0}=u_0\) the initial data \(u_0\) is decomposed as \(u_0=v_0+w_0\), where \(w_0\) does not depend on the variable \(x_3 (u=u(x_1,x_2,x_3,t))\).
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Boundary Value Problems, 2020 In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme.
Mohamed Abdelwahed, Nejmeddine Chorfi
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Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System
Abstract and Applied Analysis, 2013 Masmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality.
Ensil Kang, Jihoon Lee
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Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Stability of isentropic Navier–Stokes shocks
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blake Barker +4 more
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Abstract and Applied Analysis, 2012 We investigate an Oseen two-level stabilized finite-element method based on the local pressure projection for the 2D/3D steady Navier-Stokes equations by the lowest order conforming finite-element pairs (i.e., Q1−P0 and P1−P0).
Aiwen Wang +3 more
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Feedback stabilization of Navier–Stokes equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2003 Summary: The author proves that the steady-state solutions to Navier-Stokes equations with internal controllers are locally exponentially stabilizable by linear feedback controllers provided by an LQ control problem associated with the linearized equation.
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