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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.AP2014★ 1 cited
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…
math.AP2014★ 1 cited
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…