10 citations · 10 across the 8 of their papers we have counts for
9 papers
On the Stability of Type II Blowup for the Keller-Segel System in High Dimensions
Thomas Y. Hou, Xiang Qin, Peicong Song +1
We study finite-time blowup for the parabolic--elliptic Keller--Segel system on in dimensions , where the problem is mass supercritical. For every integer $…
Prescribed Lelong Numbers for One-Pole Green Functions on Complex Projective Space
Xiangsen Qin
Let be the normalized Fubini--Study form on , with . We prove that the one-pole Lelong-number range in is…
Failure of the local decay formula for Arnold multiplicities under twisted Kähler--Ricci flow
Xiangsen Qin
Di Nezza--Guedj--Lu asked whether local Arnold multiplicities under maximal weak twisted Kähler--Ricci flow with fixed cohomology class satisfy . We…
Exact Blowup Analysis for the Weak-Advection Hou--Li Model
Thomas Y. Hou, Xiang Qin, Xiuyuan Wang
We study self-similar singularity formation for the one-dimensional weak-advection Hou--Li model, a reduced model motivated by the axisymmetric Euler equations. In the periodic set…
Self-similar blow-up profile for the one-dimensional reduction of generalized SQG with infinite energy
Thomas Y. Hou, Xiang Qin, Yannick Sire +1
We study the singularity formation mechanisms of the inviscid generalized Surface Quasi-Geostrophic (gSQG) equation on the whole space and on the upper half-plane $\…
Multi-scale self-similar finite-time blowups of the Constantin-Lax-Majda model for the 3D Euler equations
De Huang, Xiang Qin, Xiuyuan Wang
We construct a new class of asymptotically self-similar finite-time blowups that have two collapsing spatial scales for the 1D Constantin-Lax-Majda model. The larger spatial scale…
Exact self-similar finite-time blowup of the Hou-Luo model with smooth profiles
De Huang, Xiang Qin, Xiuyuan Wang +1
We show that the 1D Hou-Luo model on the real line admits exact self-similar finite-time blowup solutions with smooth self-similar profiles. The existence of these profiles is esta…
Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model
De Huang, Xiang Qin, Xiuyuan Wang +1
We show that the -parameterized family of the generalized Constantin-Lax-Majda model, also known as the Okamoto-Sakajo-Wunsch model, admits exact self-similar finite-time blowup…
Curvature strict positivity of direct image bundles associated to pseudoconvex families of domains
Fusheng Deng, Jinjin Hu, Xiangsen Qin
We consider the curvature strict positivity of the direct image bundle associated to a pseudoconvex family of bounded domains. The main result is that the curvature of the direct i…