Yanghai Yu

activity

20182026

most citedA class large solution of the 2D MHD equations with velocity and magnetic damping

16 citations · 38 across the 43 of their papers we have counts for

collaborators

Showing 2026 · math.APShow all

3 papers · 2 filters

math.AP2026

Strong ill-posedness of the 2D Boussinesq equations in supercritical Besov spaces

Jinlu Li, Yanghai Yu

In this paper, we prove that the 2D Boussinesq equations are strongly ill-posed in the supercritical Besov spaces $B_{p, q}^{s}$ and Sobolev spaces $W^{s, p}$ with $(p,q)\in(1,\infty)\…

math.AP2026

Norm inflation and low-regularity ill-posedness for the rod equation

Jinlu Li, Yanghai Yu

In this paper, we consider the Cauchy problem for the rod equation in the line. By constructing an explicit smooth initial data, we present a new method to prove that this problem…

math.AP2026

The Coriolis effect-induced $B_{\infty, r}^{s}$ and $B_{1, r}^{s}$ ill-posedness in the 3D rotating Euler equations

Jinlu Li, Yanghai Yu

In this paper, we establish the ill-posedness of the 3D rotating Euler equations in endpoint $L^{\infty}$ and $L^{1}$ -based spaces. More precisely, our aim is two fold: (1) we prove…

Strong ill-posedness of the 2D Boussinesq equations in supercritical Besov spaces

Norm inflation and low-regularity ill-posedness for the rod equation

The Coriolis effect-induced B∞,rs​ and B1,rs​ ill-posedness in the 3D rotating Euler equations

The Coriolis effect-induced $B_{\infty, r}^{s}$ and $B_{1, r}^{s}$ ill-posedness in the 3D rotating Euler equations