3 papers
math.AP2026
Inviscid limit for the hyperbolic Keller--Segel equations in
Yang Cen, Zhaoyang Yin
In this paper, we study the inviscid limit for the hyperbolic Keller--Segel equations with logistic sensitivity . We establish a common existence time and a priori estimates u…
math.AP2026
Strong ill-posedness for the MHD system in the supercritical regime: inviscid and viscous
Zhenyu Wan, Weikui Ye, Zhaoyang Yin
This paper is concerned with the Cauchy problem for the 3D incompressible magnetohydrodynamic (MHD) equations in supercritical Sobolev spaces. It is well known that the system is l…
math.AP2023
The uniform existence time and Zero-Alpha limit problem of the Euler-Poincaré equations
Min Li, Zhaoyang Yin
We consider the Cauchy problem of the Euler-Poincaré equations in with a varying dispersion parameter . Based on the convex entropy structure and the modified com…