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The incompressible \alpha-Euler equations in the exterior of a vanishing disk

Indiana University mathematics journal, 2024, Vol.73 (2), p.691-721

2024

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Vorticity Measures and the Inviscid Limit

Archive for rational mechanics and analysis, 2019-11, Vol.234 (2), p.575-593

2019

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The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data

SIAM journal on mathematical analysis, 2020-01, Vol.52 (5), p.5257-5286

2020

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Least action principle and the incompressible Euler equations with variable density

Transactions of the American Mathematical Society, 2011-05, Vol.363 (5), p.2641-2661

2011

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Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus

Proceedings of the American Mathematical Society, 2024-02

2024

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A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution

Transactions of the American Mathematical Society, 2007-09, Vol.359 (9), p.4125-4142

2007

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Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence

Archive for rational mechanics and analysis, 2006-03, Vol.179 (3), p.353-387

2006

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Serfati solutions to the 2D Euler equations on exterior domains

Journal of Differential Equations, 2015-11, Vol.259 (9), p.4509-4560

2015

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Nonlinear Stability for Steady Vortex Pairs

Communications in mathematical physics, 2013-12, Vol.324 (2), p.445-463

2013

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Weak stability of Lagrangian solutions to the semigeostrophic equations

Nonlinearity, 2009-10, Vol.22 (10), p.2521-2539

2009

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Flows of vector fields with point singularities and the vortex-wave system

Discrete and continuous dynamical systems. Series A, 2016-05, Vol.36 (5), p.2405-2417

2016

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Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity

Quarterly of applied mathematics, 2013-01, Vol.71 (4), p.679-687

2013

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Vortex dynamics on a domain with holes

Theoretical and computational fluid dynamics, 2010-03, Vol.24 (1-4), p.51-57

2010

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Incompressible Flow Around a Small Obstacle and the Vanishing Viscosity Limit

Communications in mathematical physics, 2009, Vol.287 (1), p.99-115

2009

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Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus

Monatshefte für Mathematik, 2024-09

2024

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Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: Indifference to boundary layers

Physica. D, 2015-02, Vol.292-293, p.51-61

2015

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Vanishing viscosity limit for an expanding domain in space

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2009-11, Vol.26 (6), p.2521-2537

2009

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The limit of vanishing viscosity for the incompressible 3D Navier–Stokes equations with helical symmetry

Physica. D, 2018-08, Vol.376-377, p.238-246

2018

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Transport of interfaces with surface tension by 2D viscous ﬂows

Interfaces and free boundaries, 2010-01, Vol.12 (1), p.23-44

2010

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Confinement of vorticity for the 2D Euler-α equations

Journal of Differential Equations, 2018-12, Vol.265 (11), p.5472-5489

2018

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The vanishing viscosity limit for some symmetric flows

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2019-08, Vol.36 (5), p.1237-1280

2019

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On the Equation Satisfied by a Steady Prandtl-Munk Vortex Sheet

Communications in mathematical sciences, 2003, Vol.1 (1), p.68-73

2003

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Asymptotic behavior of 2D incompressible ideal flow around small disks

Asymptotic analysis, 2018-01, Vol.108 (1-2), p.45-83

2018

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Approximate solutions of the incompressible Euler equations with no concentrations

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2000-05, Vol.17 (3), p.371-412

2000

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Wild solutions for 2D incompressible ideal flow with passive tracer

Communications in mathematical sciences, 2015, Vol.13 (5), p.1333-1343

2015

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The incompressible \alpha-Euler equations in the exterior of a vanishing disk

Vorticity Measures and the Inviscid Limit

The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data

Least action principle and the incompressible Euler equations with variable density

Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus

A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution

Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence

Serfati solutions to the 2D Euler equations on exterior domains

Nonlinear Stability for Steady Vortex Pairs

Weak stability of Lagrangian solutions to the semigeostrophic equations

Flows of vector fields with point singularities and the vortex-wave system

Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity

Vortex dynamics on a domain with holes

Incompressible Flow Around a Small Obstacle and the Vanishing Viscosity Limit

Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus

Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: Indifference to boundary layers

Vanishing viscosity limit for an expanding domain in space

The limit of vanishing viscosity for the incompressible 3D Navier–Stokes equations with helical symmetry

Transport of interfaces with surface tension by 2D viscous ﬂows

Confinement of vorticity for the 2D Euler-α equations

The vanishing viscosity limit for some symmetric flows

On the Equation Satisfied by a Steady Prandtl-Munk Vortex Sheet

Asymptotic behavior of 2D incompressible ideal flow around small disks

Approximate solutions of the incompressible Euler equations with no concentrations

Wild solutions for 2D incompressible ideal flow with passive tracer

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