Siming He

Mixing, Enhanced Dissipation and Phase Transition in the Kinetic Vicsek Model, with Mengyang Gu, SIAM Journal on Mathematical Analysis, Vol. 57, Iss. 4, 2025;  

Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces, with Rajendra Beekie, arXiv:2409.09219, 2024;

Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions, with Jacob Bedrossian,  Sameer Iyer, Fei Wang, arXiv:2405.19249, 2024;  

Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette, 
with Jacob Bedrossian, Sameer Iyer, Fei Wang, Journal of Functional Analysis 289(7), 110987, 2025;  

Time-dependent Flows and Their Applications in Parabolic-parabolic Patlak-Keller-Segel Systems Part II: Shear Flows, Nonlinearity, 38(3), 035029, 2025;

Time-dependent Flows and Their Applications in Parabolic-parabolic Patlak-Keller-Segel Systems Part I: Alternating Flows, Journal of Functional Analysis, 288(5), 110786, 2025;

Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D,  with Jacob Bedrossian, Sameer Iyer and Fei Wang, Communications in Mathematical Physics, 406(2): 28, 2025;

A Note on Enhanced Dissipation of Time-dependent Shear Flows, with Daniel Coble, Communications in Mathematical Sciences, Volume 22 (6), 2024;

Enhanced dissipation and blow-up suppression in a chemotaxis-fluid system​, SIAM J. Math. Anal.55, no.4, 2615–2643,2023;

Stirring speeds up chemical reaction, with Alexander Kiselev, Nonlinearity, 35(8), 4599-4623, 2022;

Random search in fluid flow aided by chemotaxis, with Yishu Gong,  Alexander Kiselev, Bull. Math. Biol. 84(7), Paper No. 71, 2022;

On the Fast Spreading Scenario, with Eitan Tadmor, Andrej Zlatos, Comm. Amer. Math. Soc. 2, 149-171, 2022; 

Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation, Journal of Functional Analysis, 282(3), 2022;

Boundary layer models of the Hou-Luo scenario, with Alexander Kiselev, Journal of Differential Equations, 298, 182--204, 2021;

On the 8π-critical mass threshold of a Patlak-Keller-Segel-Navier-Stokes system, with Yishu Gong, SIAM J. Math. Anal., 53 (3), 2925–2956, 2021;

Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel, with Jacob Bedrossian, Communications in Mathematical Physics, 379(1), 177-226;

A game of alignment: collective behavior of multi-species, with Eitan Tadmor, Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 38 (4), 1031–1053, 2021;

Small scale creation for solutions of the SQG equation, with Alexander Kiselev, Duke Mathematical Journal, 170 (5), 1027–1041, 2021;

Multi-species Patlak-Keller-Segel system, with Eitan Tadmor, Indiana University Mathematics Journal, 70 (4), 1577--1624, 2021;​

Suppression of blow-up in Parabolic-Parabolic Patlak-Keller-Segel via strictly monotone shear flows,  Nonlinearity 31 (2018), no. 8, 3651–3688;

 Suppressing chemotactic blow-up through a fast splitting scenario on the plane, with Eitan Tadmor,  Arch. Ration. Mech. Anal. 232 (2019), no. 2, 951–986;

 Suppression of blow-up in Patlak-Keller-Segel via shear flows, with Jacob Bedrossian,  SIAM J. Math. Anal. 49 (2017), no. 6, 4722–4766; Erratum: Suppression of blow-up in Patlak-Keller-Segel via shear flows, with Jacob Bedrossian, SIAM J. Math. Anal. 50 (2018), no. 6, 6365–6372; 

 Global regularity of two-dimensional flocking hydrodynamics, with Eitan Tadmor, Comptes Rendus Mathematique, Volume 355, Issue 7, July 2017, Pages 795-805;

Distance comparison principle and Grayson type theorem in the three-dimensional curve shortening flow, (2012), arXiv:1209.5146.