Yingzhe Ban

collaborators

4 papers

math.AP2026

Compactly Supported Strong Ill-Posedness of the Two-Dimensional Euler Flow in $W^{3, 1} (R^{2})$

Yingzhe Ban, Maotuo Guo, Qi Zhang

We prove strong ill-posedness for the two-dimensional incompressible Euler equation in the endpoint velocity space $W_{σ}^{3, 1} (R^{2})$ . Given any compactly supported smooth di…

math.AP2026

Magnetic norm inflation at the $ℓ^{1}$ Besov endpoint for viscous non-resistive incompressible MHD

Yingzhe Ban, Boling Guo, Maotuo Guo

We prove magnetic-field norm inflation at the origin for the viscous, non-resistive incompressible magnetohydrodynamic equations on $R^{d}$ , $d \geq 2$ , in the endpoint space \[ \dot B…

math.AP2024

Local well-posedness for the Schrödinger-KdV system in $H^{s_{1}} \times H^{s_{2}}$ , II

Yingzhe Ban, Jie Chen, Ying Zhang

In this paper, we continue the study of the local well-posedness theory for the Schrödinger-KdV system in the Sobolev space $H^{s_{1}} \times H^{s_{2}}$ . We show the local well-posednes…

math.AP2024

Local well-posedness for the Schrödinger-KdV system in $H^{s_{1}} \times H^{s_{2}}$

Yingzhe Ban, Jie Chen, Ying Zhang

In this paper, we study local well-posedness theory of the Cauchy problem for Schrödinger-KdV system in Sobolev spaces $H^{s_{1}} \times H^{s_{2}}$ . We obtain the local well-posedness w…

Compactly Supported Strong Ill-Posedness of the Two-Dimensional Euler Flow in W3,1(R2)

Magnetic norm inflation at the ℓ1 Besov endpoint for viscous non-resistive incompressible MHD

Local well-posedness for the Schrödinger-KdV system in Hs1​×Hs2​, II

Local well-posedness for the Schrödinger-KdV system in Hs1​×Hs2​

Compactly Supported Strong Ill-Posedness of the Two-Dimensional Euler Flow in $W^{3, 1} (R^{2})$

Magnetic norm inflation at the $ℓ^{1}$ Besov endpoint for viscous non-resistive incompressible MHD

Local well-posedness for the Schrödinger-KdV system in $H^{s_{1}} \times H^{s_{2}}$ , II

Local well-posedness for the Schrödinger-KdV system in $H^{s_{1}} \times H^{s_{2}}$