# Welcome

This is Yong Yu's homepage. I am an associate professor in the Department of Mathematics at the Chinese University of Hong Kong. My research interests are focused on liquid crystal theory, fluid dynamics, complex fluids, Poisson-Nernst-Planck equation in Ion channel, Keller-Segel equation in chemotaxis and various geometric flows. Particularly, I am concerned about specific properties of solutions which include but not limited to 1. singularity structures and blow-up profile; 2. optimal shape problems; 3. bifurcation theory and phase transition; 4. stability or instability phenomena arising in dynamical systems.

# Current activities

I am currently organizing the Analysis and PDE seminar, joint with Prof. Hantaek Bae from UNIST, Korea and Prof. Tak Kwong Wong from HKU, Hong Kong.

# Publications

(19). Pattern formation in Landau-de Gennes theory, w/ H.M. Tai, arxiv;

(18). Long-time dynamics of classical Patlak-Keller-Segel equation, w/ C.Y. Hsieh, arxiv;

(17). Existence of solutions to the Poisson-Nernst-Planck system with singular permanent charges in R2, w/ C.Y. Hsieh, Accepted by SIMA 2021;

(16). Singular solutions to some semilinear elliptic equations: an approach of Born-Infeld approximation (CMS21), w/ C.Y. Hsieh and H.M. Tai;

(15). Disclinations in limiting Landau-de Gennes theory (ARMA20);

(14). Debye layer in Poisson-Boltzmann model with isolated singularities (ARMA19), w/ C.Y. Hsieh;

(13). Twisted solutions to a simplified Ericksen-Leslie equation (ARMA18), w/ Y. Chen and S.J. Kim;

(12). Fréedericksz transition in nematic liquid crystal flows in dimension two (SIAM18), w/ Y. Chen and S.J. Kim;

(11). Global m-equivariant solutions of nematic liquid crystal flows in dimension two (ARMA17), w/ Y. Chen;

(10). Global solutions of nematic liquid crystal flow in dimension two, w/ Y. Chen, preprint;

(09). Partial Hölder regularity of the steady fractional Navier-Stokes equations (CVPDE16), w/ L. Tang;

(08). Erratum to: Partial regularity of suitable weak solutions to the fractional Navier-Stokes equations (CMP15), w/ L. Tang;

(07). Partial regularity of suitable weak solutions to the fractional Navier-Stokes equations (CMP14), w/ L. Tang;

(06). The gradient flow for gauged harmonic maps in dimension two II (CVPDE13);

(05). The gradient flow for gauged harmonic maps in dimension two I, preprint;

(04). Gamma convergence of Maxwell-Chern-Simons-Higgs energy (JFA13);

(03). Vortex dynamics for the nonlinear Maxwell-Klein-Gordon equation (ARMA11);

(02). Vortex dynamics for the nonlinear Klein-Gordon equation (JDE11);

(01). Solitary waves for the nonlinear Klein-Gordon equation coupled with the Born-Infeld theory (AIHP10).

# Recent talks

2021

(02). Singularity formation in nonlinear PDEs (Online) (21w5503), BIRS (09/26-10/01), video;

(01). Symposium on partial differential equations (PDE) 2021, EDUHK & HKU (02/27).

# Grants

PI, RGC grant GRF-14304821, 2022-2025;

PI, RGC grant GRF-14305019, 2020-2023;

PI, RGC grant GRF-14302718, 2019-2023;

PI, RGC grant GRF-14306217, 2018-2021;

PI, RGC grant GRF-14306414, 2015-2017;

PI, RGC grant ECS-409613, 2014-2017;

PI, CUHK Direct Grant for Research, 2013-2014.

# Resume

2018-pres: Associate Prof., the Chinese University of Hong Kong;

2012-2018: Assistant Prof., the Chinese University of Hong Kong;

2009-2012: VAP, University of Iowa;

2004-2009: Ph. D, Courant Institute, New York University;

2001-2004: M. Sc., Fudan University;

1997-2001: Bachelor, Fudan
University.

# Contacts

**Office:** LSB
214, The Chinese University of Hong Kong, Dept. of Mathematics

**Phone: **(852)
3943-8900

**Fax:** (852)
2603-5154

**Email:** yongyu
at math dot cuhk dot edu dot hk