Exponential growth of the vorticity gradient for the Euler equation on the torus

From MaRDI portal
Publication:471688

DOI10.1016/j.aim.2014.08.012zbMath1308.35194arXiv1310.6128OpenAlexW2963123674MaRDI QIDQ471688

Andrej Zlatoš

Publication date: 17 November 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6128




Related Items (47)

Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flowConstruction of high regularity invariant measures for the 2D Euler equations and remarks on the growth of the solutionsOn the rate of merging of vorticity level sets for the 2D Euler equationsOn the global stability of a beta-plane equationActive vector models generalising 3D Euler and electron–MHD equationsRemark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a cornerFinite time singularity for the modified SQG patch equationOn Rayleigh-Taylor instability in nonhomogeneous incompressible elasticity fluidsIll-posedness for the incompressible Euler equations in critical Sobolev spacesA simple ill-posedness proof for incompressible Euler equations in critical Sobolev spacesStability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipationGlobal classical solutions of 2D MHD system with only magnetic diffusion on periodic domainNo local double exponential gradient growth in hyperbolic flow for the 2d Euler equationSmall scale formations in the incompressible porous media equationStability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2Turbulent cascades for a family of damped Szegő equationsOn magnetic inhibition theory in 3D non-resistive magnetohydrodynamic fluids: global existence of large solutionsAxi-symmetric solutions for active vector models generalizing 3D Euler and electron-MHD equationsStrong ill-posedness for SQG in critical Sobolev spacesGlobal well-posedness for MHD equations with magnetic diffusion and damping term in \(\mathbb{R}^2\)Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic FlowGrowth of perimeter for vortex patches in a bulkLoss of regularity for the 2D Euler equationsStability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipationAn incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equationsFinite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundaryOptimal decay estimates for 2D Boussinesq equations with partial dissipationInvariant measures and global well posedness for the SQG equationSmall-scale creation for solutions of the SQG equationOn the local existence and blow-up for generalized SQG patchesOn the effects of advection and vortex stretchingVortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equationsThe incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domainStabilizing effect of elasticity on the motion of viscoelastic/elastic fluidsFinite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)High Reynolds number and high Weissenberg number Oldroyd-B model with dissipationOn vorticity gradient growth for the axisymmetric 3D Euler equations without swirlSharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusionInfluence of a background magnetic field on a 2D magnetohydrodynamic flowGlobal well-posedness to the two-dimensional incompressible vorticity equation in the half planePreservation of log-Hölder coefficients of the vorticity in the transport equationThe mean-field approximation for higher-dimensional Coulomb flows in the scaling-critical L spaceThe stabilizing effect of the temperature on buoyancy-driven fluidsBlow up for the 2D Euler equation on some bounded domainsInfinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipoleOn Singular Vortex Patches, I: Well-posedness IssuesLocal Regularity for the Modified SQG Patch Equation



Cites Work


This page was built for publication: Exponential growth of the vorticity gradient for the Euler equation on the torus