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

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

Enstrophy dissipation and vortex thinning for the incompressible 2D Navier–Stokes equations

(2021) In-Jee Jeong et al.   NONLINEARITY

Stable self-similar blow-up for a family of nonlocal transport equations

(2021) Tarek M. Elgindi et al.   Analysis & PDE

Symmetries and Critical Phenomena in Fluids

(2019) Tarek M. Elgindi et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

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

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

Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics

(2018) Alexander Kiselev   JOURNAL OF NONLINEAR SCIENCE

No local double exponential gradient growth in hyperbolic flow for the 2d Euler equation

(2017) Vu Hoang et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Finite time singularity for the modified SQG patch equation

(2016) Alexander Kiselev et al.   ANNALS OF MATHEMATICS

Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow

(2016) Xiaoqian Xu   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Remark on Single Exponential Bound of the Vorticity Gradient for the Two-Dimensional Euler Flow Around a Corner

(2016) Tsubasa Itoh et al.   Journal of Mathematical Fluid Mechanics

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

(2015) Andrej Zlatoš   ADVANCES IN MATHEMATICS

Strong illposedness of the incompressible Euler equation in integer C m spaces

(2015) Jean Bourgain et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

A characterization at infinity of bounded vorticity, bounded velocity solutions to the 2D Euler equations

(2015) James Kelliher   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Small scale creation for solutions of the incompressible two-dimensional Euler equation

(2014) Alexander Kiselev et al.   ANNALS OF MATHEMATICS

Finite Time Blow Up for a 1D Model of 2D Boussinesq System

(2014) Kyudong Choi et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

(2014) Jean Bourgain et al.   INVENTIONES MATHEMATICAE

An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations

(2014) Dongho Chae et al.   Journal of Mathematical Fluid Mechanics

Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

(2014) Guo Luo et al.   MULTISCALE MODELING & SIMULATION

Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations

(2012) Dongho Chae et al.   JOURNAL OF NONLINEAR SCIENCE

On the Lagrangian dynamics of the axisymmetric 3D Euler equations

(2010) Dongho Chae   JOURNAL OF DIFFERENTIAL EQUATIONS

Regularity and Blow up for Active Scalars

(2010) A. Kiselev   Mathematical Modelling of Natural Phenomena

On the blow-up problem for the axisymmetric 3D Euler equations

(2008) Dongho Chae   NONLINEARITY