Quasi-geostrophic type equations with weak initial data.

Wu, Jiahong

Displaying similar documents to “Quasi-geostrophic type equations with weak initial data.”

Global regularity of the Navier-Stokes equation on thin three-dimensional domains with periodic boundary conditions.

Montgomery-Smith, Stephen (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Stability estimate for strong solutions of the Navier-Stokes system and its applications.

Kawanago, Tadashi (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Regularity of solutions to the Navier-Stokes equation.

Chae, Dongho, Choe, Hi-Jun (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations.

Grujić, Zoran (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Quasi-spectral data construction at two points at partially nonhomogeneous turbulence.

Malki, Mohammed Ouçamah Cherkaoui, Sayouri, Salaheddine (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the instantaneous spreading for the Navier–Stokes system in the whole space

Lorenzo Brandolese, Yves Meyer (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the spatial behavior of the velocity field $u (x, t)$ of a fluid filling the whole space $ℝ^{n}$ ( $n \geq 2$ ) for arbitrarily small values of the time variable. We improve previous results on the spatial spreading by deducing the necessary conditions $\int u_{h} (x, t) u_{k} (x, t) d x = c (t) δ_{h, k}$ under more general assumptions on the localization of $u$ . We also give some new examples of solutions which have a stronger spatial localization than in the generic case.

Regularity of generalized Navier-Stokes equations in terms of direction of the velocity.

Luo, Yuwen (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Low Mach number limit for viscous compressible flows

Raphaël Danchin (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of barotropic fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of ill-prepared data. Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes...

Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component

Jiří Neustupa, Milan Pokorný (2001)

Mathematica Bohemica

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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.