Yifu Zhou

I am a JJ Sylvester Assistant Professor in Department of Mathematics at Johns Hopkins University, under the mentorship of Professor Yannick Sire.

I obtained the PhD degree in Mathematics at University of British Columbia under the supervision of Professor Juncheng Wei.

• Thesis: New gluing methods and applications to nonlinear elliptic and parabolic equations
  

I am mainly interested in nonlinear elliptic and parabolic PDEs.
Here is my Curriculum Vitae.



Contact

• E-mail: yzhou173@math.jhu.edu
  
• Address:
  Department of Mathematics
  Johns Hopkins University
  3400 N. Charles Street
  Baltimore, MD 21218
  
• Office: 419 Krieger Hall
  
• Phone: (410) 516-7729




Research interests

• Nematic liquid crystal flows
• Harmonic map heat flows
• Energy critical and supercritical equations
• Keller-Segel systems
• Fractional heat equations
• Lane-Emden-Fowler problems
• Concentration and blow-up phenomena



Publications and Preprints

1. (with Chen-Chih Lai and Juncheng Wei) Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass, preprint, arXiv:2101.08306, 2021.
2. (with Manuel del Pino, Chen-Chih Lai, Monica Musso and Juncheng Wei) New type II finite time blow-up for the energy supercritical heat equation, preprint, arXiv:2006.00716, 2020.
3. (with Manuel del Pino, Monica Musso, Juncheng Wei and Qidi Zhang) Type II finite time blow-up for the three dimensional energy critical heat equation, arXiv:2002.05765, 2020.
4. (with Chen-Chih Lai, Fanghua Lin, Changyou Wang and Juncheng Wei) Finite time blow-up for the nematic liquid crystal flow in dimension two, arXiv:1908.10955, accepted by Comm. Pure Appl. Math.
5. (with Juan Davila, Manuel del Pino, and Juncheng Wei) Singularity formation for the three-dimensional axisymmetric harmonic map heat flow into $\mathbb{S}^2$, preprint, 2019.
6. (with Monica Musso, Yannick Sire, Juncheng Wei and Youquan Zheng) Infinite time blow-up for the fractional heat equation with critical exponent, Math. Ann. 375 (2019), no.1-2, 361-424.
7. (with Manuel del Pino, Monica Musso and Juncheng Wei) Type II finite time blow-up for the energy critical heat equation in $\mathbb{R}^4$. Discrete Contin. Dyn. Syst. 40 (2020), no. 6, 3327-3355.
8. (with Yannick Sire and Juncheng Wei) Infinite time blow-up for the critical mean field type flow, in preparation.
9. (with Guoyuan Chen and Juncheng Wei) Finite time blow-up for the fractional critical heat equation in $\mathbb{R}^n$, Nonlinear Anal. 193 (2020), 111420.
10. (with Chunhua Wang, Juncheng Wei and Suting Wei) Infinite time blow-up for critical heat equation with drift terms, Calc. Var. Partial Differential Equations 59 (2020), no. 1, Paper No. 3.
11. (with Guoyuan Chen and Juncheng Wei) Bubbling along boundary geodesics for Lane-Emden-Fowler problem near the second critical exponent in dimensions 6 and 7, preprint, 2018.
12. (with Hua Chen) Lower bounds of eigenvalues for a class of bi-subelliptic operators, J. Differential Equations 262 (2017), no. 12, 5860-5879.



Teaching


• At JHU:
  • Calculus I – Biology and Social Sciences (AS.110.106), Spring 2021
  • Calculus I – Biology and Social Sciences (AS.110.106), Fall 2020
• At UBC:
  • Instructor for MATH 101 Section 213 (Integral Calculus with Applications to Physical Sciences and Engineering), 2019 Term 2
  • Workshop leader for MATH 110 (Differential Calculus), 2019 Term 1
  • Teaching assistant for
    • MLC (Math Learning Centre), 2017 - present
    • MATH 401 (Green's Functions and Variational Methods), 2018 Term 2
    • MATH 215 (Elementary Differential Equations), 2018 Term 1
    • MATH 257 (Partial Differential Equations), 2017 Term 2
    • MATH 256 (Differential Equations), 2017 Term 1
    • MATH 221 (Matrix Algebra), 2016 Term 2

  Links

  • MathSciNet
  • arXiv
  • Math Seminar
  • Analysis and PDE Seminar
  • Differential Geometry, Mathematical Physics, PDE (DG-MP-PDE)
  • Calculus of Variations and Geometric Measure Theory
  • The MacTutor History of Mathematics archive
  • UBC Library