Shumao Zhang

collaborators

2 papers

math.AP2024

Potential Singularity of the Axisymmetric Euler Equations with $C^{I^} \pm$ Initial Vorticity for A Large Range of $I^\pm$ . Part II: the $N$ -Dimensional Case

Thomas Y. Hou, Shumao Zhang

In Part II of this sequence to our previous paper for the 3-dimensional Euler equations \cite{zhang2022potential}, we investigate potential singularity of the $n$ -diemnsional axisy…

math.AP2024

Potential Singularity of the Axisymmetric Euler Equations with $C^{I^} \pm$ Initial Vorticity for A Large Range of $I^\pm$

Thomas Y. Hou, Shumao Zhang

We provide numerical evidence for a potential finite-time self-similar singularity of the 3D axisymmetric Euler equations with no swirl and with $C^{I^} \pm$ initial vorticity for a larg…

Potential Singularity of the Axisymmetric Euler Equations with CI^± Initial Vorticity for A Large Range of I^±. Part II: the N-Dimensional Case

Potential Singularity of the Axisymmetric Euler Equations with CI^± Initial Vorticity for A Large Range of I^±

Potential Singularity of the Axisymmetric Euler Equations with $C^{I^} \pm$ Initial Vorticity for A Large Range of $I^\pm$ . Part II: the $N$ -Dimensional Case

Potential Singularity of the Axisymmetric Euler Equations with $C^{I^} \pm$ Initial Vorticity for A Large Range of $I^\pm$