Results 11 to 20 of about 71 (70)
Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping
Demonstratio Mathematica, 2023 We study the uniqueness, the continuity in L2{L}^{2}, and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a ...
Blel Mongi, Benameur Jamel
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Advances in Nonlinear Analysis, 2019 H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
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Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
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A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation
Advanced Nonlinear Studies, 2017 In this article, we prove that data assimilation by feedback nudging can be achieved for the three-dimensional quasi-geostrophic equation in a simplified scenario using only large spatial scale observables on the dynamical boundary.
Jolly Michael S. +2 more
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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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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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On a viscous two-fluid channel flow including evaporation
Open Mathematics, 2018 In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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A survey on some vanishing viscosity limit results
Advances in Nonlinear Analysis, 2023 We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
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Development of local, global, and trace estimates for the solutions of elliptic equations
, 2001 Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
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Optimality of Serrin type extension criteria to the Navier-Stokes equations
Advances in Nonlinear Analysis, 2021 We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
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