collaborators
Showing math.APShow all

4 papers · 1 filter

math.AP2026

Almost optimal well-posedness for Chern--Simons gauged sigma model under the Lorenz gauge

Huali Zhang, Jie Zhou

In this paper, we study the low-regularity Cauchy problem for the Chern--Simons gauged sigma model in () under the Lorenz gauge. For , we esta…

math.AP2026

Well-posedness for rough solutions of the 3D compressible Euler equations

Lars Andersson, Huali Zhang

In this paper we prove full local well-posedness for the Cauchy problem for the compressible 3D Euler equation, i.e. local existence, uniqueness, and continuous dependence on initi…

math.AP2025

Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity

Huali Zhang

By establishing a sharp Strichartz estimate for the velocity and density, we prove the local well-posedness of solutions for the Cauchy problem of two-dimensional compressible Eule…

math.AP2024

Local well-posedness for incompressible neo-Hookean Elastic equations in almost critical Sobolev spaces

Huali Zhang

Inspired by a pioneer work of Andersson-Kapitanski \cite{AK}, we prove the local well-posedness of the Cauchy problem of incompressible neo-Hookean equations if the initial deforma…