curriculum vitae

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Education Background

• 2017.8-Now: PhD Student in Mathematics, the Department of Mathematics, Johns Hopkins University.
• 2013.8-2017.6: Undergraduate, majoring in pure math, School of Mathematical Sciences, University of Science and Technology of China.
• 2008.9-2013.6: Middle & High School, School of the Gifted Young, Nanchang No.10 Middle School.

Research Interest

• I am mainly interested in PDEs of fluids, especially free-boundary problems. Now I'm focusing on the free-boundary problems of MHD.

Languages

• Chinese: Mandarin(Native) and Nanchang dialect(dialect in my hometown),
• English.

Teaching

• Detailed Information can be found in the Teaching Page.
• At Johns Hopkins (TA):
  • 2017 Fall: Calculus 1(Eng), Methods in Complex Analysis.
  • 2018 Spring: Partial Differential Equations.
  • 2018 Fall: Calculus 2(Eng).
  • 2019 Spring: Honour Analysis 2, Calculus 2 (Eng).
  • 2019 Fall: Honour Analysis 1, Real Variables.
  • 2020 Spring: Honour Analysis 2, Partial Differential Equations.
• At USTC (TA):
  • 2016 Spring: Real Analysis (H) (Instructor: Prof. Hao Yin, Class: 14000*1).
  • 2016 Fall: Advanced Real Analysis (Instructor: Prof. Hao Yin, Class: 14000*1, 140010101);
  • 2017 Spring: Differential Equations II (Instructor: Professor Xing Liang, Class: 140010101, 140010103);

Publications

• Junyan Zhang. A priori Estimates for free-boundary problem of the Compressible Resistive MHD Equations and Incompressible Limit. arXiv 1911.04928, preprint. [PDF]
• Chenyun Luo, Junyan Zhang. A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension. arXiv 1907.11827, preprint. [PDF]
• Chenyun Luo, Junyan Zhang. A Regularity Result for the Incompressible Magnetohydrodynamics Equations with Free Surface Boundary. Nonlinearity, 33(4), 1499–1527 (2020). arXiv: 1904.05444 [DOI] [PDF]

Talks and Seminars

• On the Incompressible MHD with or without Surface Tension, Institute of Mathematics, Chinese Academy of Sciences, May 23 2019.
• On the free-boundary problem of MHD equations with or without surface tension, University of Science and Technology of China, Dec 23 2019.

Conference and Short Course

• Summer School on Mathematical General Relativity and the Geometric Analysis of Waves of Fluids, MIT, June 2018.
• 2019 Southern California Analysis and PDE Conference, UCSD, November 2019。