Results 1 to 10 of about 2,268 (25)

Pressure, Intermittency, Singularity [PDF]

, 2023
We give conditions for regularity of solutions of three dimensional incompressible Navier-Stokes equations based on the pressure and on structure functions.
arxiv   +1 more source

On Electroconvection in Porous Media [PDF]

arXiv, 2022
We address existence, uniqueness and analyticity of solutions of an electroconvection model in porous media.
arxiv  

Global well-posedness for the critical 2D dissipative quasi-geostrophic equation [PDF]

, 2006
We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.
arxiv   +1 more source

Eventual regularization for the slightly supercritical quasi-geostrophic equation [PDF]

, 2008
We prove that weak solutions of a slightly supercritical quasi-geostrophic equation become smooth for large time. We prove it using a De Giorgi type argument using ideas from a recent paper by Caffarelli and Vasseur.
arxiv   +1 more source

Gradient flow structure for domain relaxation in Langmuir films [PDF]

arXiv, 2010
We describe a gradient flow structure for the inviscid Langmuir layer Stokesian subfluid model introduced recently by Alexander et al [1].
arxiv  

A regularity criterion for the dissipative quasi-geostrophic equations [PDF]

arXiv, 2007
We establish a regularity criterion for weak solutions of the dissipative quasi-geostrophic equations in mixed time-space Besov spaces.
arxiv  

Global weak solutions for SQG in bounded domains [PDF]

arXiv, 2016
We prove existence of global weak $L^2$ solutions of the inviscid SQG equation in bounded domains.
arxiv  

Note on Global Regularity for 2D Oldroyd-B Fluids with Diffusive Stress [PDF]

, 2012
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial diffusion of the polymeric stresses.
arxiv   +1 more source

Finite Time Blow-up for the 3D Incompressible Euler Equations [PDF]

arXiv, 2005
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
arxiv  

Absence of anomalous dissipation of energy in forced two dimensional fluid equations [PDF]

, 2013
We prove absence of anomalous dissipation of energy for forced critical SQG in two space dimensions.
arxiv   +1 more source