Filamentation near Hill’s vortex

Stability of Lamb Dipoles

(2022) Ken Abe et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Vorticity and circulation decay in the viscous Lamb dipole

(2021) Robert Krasny et al.   FLUID DYNAMICS RESEARCH

Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with $$C^{1,\alpha }$$ Velocity and Boundary

(2021) Jiajie Chen et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain

(2021) Tarek M. Elgindi et al.   ADVANCES IN MATHEMATICS

Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$

(2021) Tarek M. Elgindi   ANNALS OF MATHEMATICS

Vortex stretching and enhanced dissipation for the incompressible 3D Navier–Stokes equations

(2020) In-Jee Jeong et al.   MATHEMATISCHE ANNALEN

Renormalization and energy conservation for axisymmetric fluid flows

(2020) Camilla Nobili et al.   MATHEMATISCHE ANNALEN

Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems

(2020) Moon-Jin Kang et al.   INVENTIONES MATHEMATICAE

Growth of perimeter for vortex patches in a bulk

(2020) Kyudong Choi et al.   APPLIED MATHEMATICS LETTERS

On the Growth of the Support of Positive Vorticity for 2D Euler Equation in an Infinite Cylinder

(2019) Kyudong Choi et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On Vorticity Gradient Growth for the Axisymmetric 3D Euler Equations Without Swirl

(2019) Tam Do   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

L∞ Ill-Posedness for a Class of Equations Arising in Hydrodynamics

(2019) Tarek M. Elgindi et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model

(2019) Kyudong Choi et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Eroding dipoles and vorticity growth for Euler flows in $\mathbb{R^{3}$: the hairpin geometry as a model for finite-time blowup

(2018) Stephen Childress et al.   FLUID DYNAMICS RESEARCH

On the Cauchy Problem for Axi-Symmetric Vortex Rings

(2014) Hao Feng et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Bounded mean oscillation and the uniqueness of active scalar equations

(2014) Jonas Azzam et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Nonlinear Stability for Steady Vortex Pairs

(2013) Geoffrey R. Burton et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations

(2011) Nicholas Leger et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations

(2010) E. Titi et al.   Discrete and Continuous Dynamical Systems-Series S

Why are solitons stable?

(2008) Terence Tao   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Asymptotic behavior of vortices in axisymmetric flow without swirl

(2008) Kun Ren et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Growth of anti-parallel vorticity in Euler flows

(2008) Stephen Childress   PHYSICA D-NONLINEAR PHENOMENA