1 citations · 2 across the 6 of their papers we have counts for
6 papers
Doubly Connected V-States in Geophysical Models: A General Framework
Taoufik Hmidi, Liutang Xue, Zhilong Xue
In this paper, we prove the existence of doubly connected V-states (rotating patches) close to an annulus for active scalar equations with completely monotone kernels. This provide…
Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure
Xiang Bai, Changhui Tan, Liutang Xue
We study the Cauchy problem of the compressible Euler system with strongly singular velocity alignment. We establish a global well-posedness theory for the system with small smooth…
Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system
Yatao Li, Qianyun Miao, Changhui Tan +1
We investigate global solutions to the Euler-alignment system in dimensions with unidirectional flows and strongly singular communication protocols for $α…
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…
On the locally self-similar singular solutions for the incompressible Euler equations
Liutang Xue
In this paper we consider the locally backward self-similar solutions for the Euler system, and focus on the case that the possible nontrivial velocity profiles have non-decaying a…
Discretely self-similar singular solutions for the incompressible Euler equations
Liutang Xue
In this article we consider the discretely self-similar singular solutions of the Euler equations, and the possible velocity profiles concerned not only have decaying spatial asymp…