Yao Shi

collaborators

3 papers

math.AP2026

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ( $E m$ ), (2) Finite-time blow-up of two unified $(1 + 1)$ D systems rigorously derived from ( $E m$ )

Yaoming Shi

We derive a unified polar $(1 + 2)$ D subsystem $(E m)$ , with $m = 1, 2$ , from the 2D inviscid Boussinesq and 3D axisymmetric Euler equations. On the symmetry axes $I^¸ = 0, \pm I ¨ /2, I ¨ $ , ridg…

math.AP2026

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system

Yaoming Shi

We derive a unified vorticity--stream formulation $(B m)$ for two parity-reduced inviscid systems in the meridian plane: the 2D inviscid Boussinesq equations $(m = 1)$ and the 3D axis…

nlin.SI2026

Finite-time blow-up of two $(1 + 1)$ D systems rigorously derived from the 3D axisymmetric Euler equations

Yaoming Shi

We study two $(1 + 1)$ -dimensional systems, denoted $(R 0)$ and $(Z 0)$ , that are rigorously derived from the three-dimensional axisymmetric Euler equations in a signed polar formulati…

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification (Em), (2) Finite-time blow-up of two unified (1+1)D systems rigorously derived from (Em)

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system

Finite-time blow-up of two (1+1)D systems rigorously derived from the 3D axisymmetric Euler equations

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ( $E m$ ), (2) Finite-time blow-up of two unified $(1 + 1)$ D systems rigorously derived from ( $E m$ )

Finite-time blow-up of two $(1 + 1)$ D systems rigorously derived from the 3D axisymmetric Euler equations