## Xing Wei (魏星)address: email: xing.wei@sjtu.edu.cn |

I plan to recruit graduate students and postdocs for these projects.

How the Earth's magnetic fields are generated and evolve.

How the young Jupiter's magnetic fields look like.

How tidal waves in planets and stars work.

How magnetic field triggers instability in stellar interior to enhance chemical mixing.

How magnetic field influences stellar oscillations.

How self-gravity, magnetic field and differential rotation in disks interact.

Students with the background of mathematics, physics, fluid mechanics, astronomy or geophysics are welcome to contact me. The projects are not limited to the above ones and you are encouraged to propose your own ideas.

My research interests are fluid mechanics applied to geophysics and astrophysics. For example, how the Earth's magnetic fields are generated and evolve, how tides in binary stars work, why proto-planetary or black hole disks become unstable, how turbulence behaves in the presence of rotation or stratification or magnetic fields, etc. To understand these physical problems, some mathematical equations need to be solved, and the methods involve analytical, semi-analytical and small-scale numerical calculations. Below are some objects that I study (from left to right: Earth's magnetic fields, Jupiter's red spot, stellar interior, tides in binary stars, and disk accretion).

B.S. Tsinghua University (mechanics), Sep 1998 - Jul 2002

M.S. Tsinghua University (mechanics), Sep 2002 - Jul 2004

Ph.D. University of Cambridge (fluid mechanics), Oct 2004 - Dec 2008

postdoc, ETH Zurich (geophysics), Jan 2009 - Mar 2011

research associate, University of Göttingen (geophysics), Apr 2011 - Jun 2013

research faculty, Princeton University (astrophysics), Jul 2013 - Sep 2015

associate professor, Shanghai Jiao Tong University (applied mathematics), Nov 2015 - present

Wei, X. (2019): Global ocean tide in the past and future.

*submitted*.Wei, X. (2019): Surface tide on a rapidly rotating body.

*Monthly Notices of the Royal Astronomical Society*, 484: 3017-3021.Wei, X. (2018): Dynamo induced by time-periodic force.

*Astrophysical Journal Letters*, 855: L7.Wei, X. (2018): The magnetic effect on dynamical tide in rapidly rotating astronomical objects.

*Astrophysical Journal*, 854: 34.Wei, X. (2016): Calculating rotating hydrodynamic and magnetohydrodynamics waves to understand magnetic effects on dynamical tides.

*Astrophysical Journal*, 828: 30.Wei, X. (2016): The combined effect of precession and convection on dynamo action.

*Astrophysical Journal*, 827: 123.Wei, X. (2016): Linear and nonlinear responses to harmonic force in rotating flow.

*Journal of Fluid Mechanics*, 796: 306-317.Wei, X. (2016): Decay of isotropic flow and anisotropic flow with rotation or magnetic field or both in a weakly nonlinear regime.

*Acta Mechanica*, 227: 2403-2413.Wei, X., Ji, H. and Goodman, J., et. al. (2016): Numerical simulations of the Princeton magneto-rotational instability experiment with conducting axial boundaries.

*Physical Review E*, 94: 063107.Wei, X. and Goodman, J. (2015): On obliquely magnetized and differentially rotating stars.

*Astrophysical Journal*, 806: 50.Wei, X. (2014): Kinematic dynamo induced by helical waves.

*Geophysical and Astrophysical Fluid Dynamics*, 109: 159-167.Wei, X., Arlt, R. and Tilgner, A. (2014): A simplified model of collision-driven dynamo action in small bodies.

*Physics of the Earth and Planetary Interiors*, 231: 30-38.Wei, X. (2013): Local analysis of the magnetic instability in rotating magneto-hydrodynamics with the short-wavelength approximation.

*Geophysical and Astrophysical Fluid Dynamics*, 108: 213-221.Wei, X. and Tilgner, A. (2013): Stratified precessional flow in spherical geometry.

*Journal of Fluid Mechanics*, 718: R2.Hollerbach, R., Wei, X., Noir, J. and Jackson, A. (2012): Electromagnetically driven flows in a rapidly rotating spherical shell.

*Journal of Fluid Mechanics*, 725: 428-445.Wei, X., Jackson, A. and Hollerbach, R. (2012): Kinematic dynamo action in spherical Couette flow.

*Geophysical and Astrophysical Fluid Dynamics*, 106: 681-700.Wei, X. and Hollerbach, R. (2010): Magnetic spherical Couette flow in linear combinations of axial and dipolar fields.

*Acta Mechanica*, 215: 1-8.Wei, X. and Hollerbach, R. (2008): Instabilities of Shercliff and Stewartson layers in spherical Couette flow.

*Physical Review E*, 78: 026309.Wei, X., Zhang, J. and Zhou, LX. (2004): A new algebraic mass flux model for simulating turbulent mixing in swirling flow.

*Numerical Heat Transfer B*, 45: 283-300.

Mathematical Methods, undergraduate supervision, Cambridge, full 2006

Plasma Physics, graduate seminar, Shanghai, spring 2016

Calculus, undergraduate lecture, Shanghai, fall 2017

Fluid Mechanics, graduate lecture, Shanghai, fall 2017, fall 2018

Numerical Analysis, graduate lecture, Shanghai, fall 2018

This course is an introduction of fluid mechanics. The contents involve physical property of fluid, Euler equation and Navier-Stokes equation, vortex dynamics, waves in fluid, boundary layer theory, flow instability, introduction of turbulence, introduction of shocks, and introduction of geophysical and astrophysical fluid dynamics.

这门课程介绍流体力学的基本知识。课程内容包括：流体的基本性质，流体力学基本方程，流体中的涡，流体中的波，边界层理论，流动稳定性，湍流简介，激波简介，地球物理和天体物理流体力学简介。

Syllabus (教学内容)

掌握控制体的方法推导流体力学方程的积分形式和微分形式。

掌握可压缩和不可压缩流动的特性。

掌握流体中常见的几种涡，能够从涡量解释阻力和升力。

掌握流体中常见的几种波，掌握推导色散关系和群速度的方法。

掌握边界层的概念和推导，掌握量级分析的方法。

掌握流动稳定性分析的方法，能够根据不同的流动给出稳定性的特征值问题。

了解湍流的多尺度和标度率的量纲分析的方法。

了解激波出现的原因，能够写出一维激波的间断条件。

了解旋转流体、分层流体、磁流体的基本方程，知道它们在大气、海洋、天文上的应用。

Reference books (参考书)

Elementary fluid dynamics, Acheson, Oxford University Press, 1990

An introduction to fluid dynamics, Batchelor, Cambridge University Press, 1967

Fluid mechanics, Landau & Lifshitz, Clarendon Press, 1959

Waves in fluids, Lighthill, Cambridge University Press, 1978

Hydrodynamic and hydromagnetic stability, Chandrasekhar, Dover Press, 1981

Syllabus and textbook (教学内容和教科书)

http://math.sjtu.edu.cn/course/Ngraduate/category.asp?name=9001&secondName=9327

Dorothy Hodgkin Postgraduate Awards, University of Cambridge, 2004

1000 Youth Talent Plan (青年千人), Chinese government, 2016

1000 Youth Talent Grant, National Natural Science Foundation of China, 2016

General Program, National Natural Science Foundation of China, 2019

Magnetic Reconnection, Shanghai, Jan 2017

Physics of Planetary and Stellar Interiors, Nanjing, Apr 2017