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
(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.
(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.
(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.
(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.
(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.
(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.
(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.
(with Yannick Sire and Juncheng Wei) Infinite time blow-up for the critical mean field type flow, in preparation.
(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.
(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.
(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.
(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