Qianyun Miao

activity

20192026

most citedGlobal regularity for a 1D Euler-alignment system with misalignment

2 citations · 6 across the 12 of their papers we have counts for

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2 papers · 1 filter

math.AP2024

A nonlinear Calderón-Zygmund $L^{2}$ -theory for the Dirichlet problem involving $- ∣ D u ∣^{γ} Δ_{p}^{N} u = f$

Qianyun Miao, Fa Peng, Yuan Zhou

We establish a nonlinear Calderón-Zygmund $L^{2}$ -theory to the Dirichlet problem $$-|Du|^γΔ^N_p u=f\in L^2(Ω)\quad {\rm in}\quad Ω; \quad u=0 \ \mbox{on $\partialΩ$} $$ for $n \geq 2$ ,…

math.AP2024

Local regularity and finite-time singularity for a class of generalized SQG patches on the half-plane

Qianyun Miao, Changhui Tan, Liutang Xue +1

In this paper, we investigate a class of inviscid generalized surface quasi-geostrophic (SQG) equations on the half-plane with a rigid boundary. Compared to the Biot-Savart law in…

A nonlinear Calderón-Zygmund L2-theory for the Dirichlet problem involving −∣Du∣γΔpN​u=f

Local regularity and finite-time singularity for a class of generalized SQG patches on the half-plane

A nonlinear Calderón-Zygmund $L^{2}$ -theory for the Dirichlet problem involving $- ∣ D u ∣^{γ} Δ_{p}^{N} u = f$