Qianyun Miao

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math.AP2022

A global second order Sobolev regularity for $p$ -Laplacian type equations with variable coefficients in bounded domains

Qianyun Miao, Fa Peng, Yuan Zhou

Let $Ω \subset R^{n}$ be a bounded convex domain with $n \geq 2$ . Suppose that $A$ is uniformly elliptic and belongs to $W^{1, n}$ when $n \geq 3$ or $W^{1, q}$ for some $q > 2$ when $n = 2$ . Fo…

math.AP2022

Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment

Xiang Bai, Qianyun Miao, Changhui Tan +1

In this paper, we study the Cauchy problem of the compressible Euler system with strongly singular velocity alignment. We prove the existence and uniqueness of global solutions in…

A global second order Sobolev regularity for p-Laplacian type equations with variable coefficients in bounded domains

Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment

A global second order Sobolev regularity for $p$ -Laplacian type equations with variable coefficients in bounded domains