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math.AP2022
Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc
Taoufik Hmidi, Liutang Xue, Zhilong Xue
In this paper we address the existence of time periodic solutions for the generalized inviscid SQG equation in the unit disc with homogeneous Dirichlet boundary condition when $α\i…
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…
math.AP2022★ 2 cited
On the regularity of temperature fronts for the 3D viscous Boussinesq system
Omar Lazar, Yatao Li, Liutang Xue
We study the temperature front problem for the 3D viscous Boussinesq equation. We prove that the (, ) and regularity of a temperature fron…