Lehigh Logo
Department of

Mathematics

Linderman Library Rotunda stained glass dome
Lehigh Shield

Lei Wu

Associate Professor

610.758.3753
lew218@lehigh.edu
Chandler-Ullmann Hall 250
Education:

Ph.D., Brown University, 2015

M.Sc., Brown University, 2011

B.Sc., Peking University, 2010

Explore this Profile
×

Additional Interests

  • Numerical Analysis; Mathematical Physics; Harmonic Analysis

Research Statement

My research focuses on the differential equations arising from mathematical physics, particularly
kinetic theory, fluid mechanics, solid mechanics, quantum mechanics, and theory of relativity.

We are mostly interested in the existence and uniqueness of solution, continuous dependence
on the data and parameters, long-term behaviors and stability, bifurcation, and asymptotic limits.

Biography

2015−2018: Carnegie Mellon University – Postdoc
2018−Now: Lehigh University – Assistant Professor

  1. LEI WU and YAN GUO; Geometric Correction for Diffusive Expansion of Steady Neutron Transport
    Equation. Communications in Mathematical Physics 336 (2015), no. 3, 1473-1553.
  2. LEI WU and CHI-WANG SHU; Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin
    Method. ESAIM Mathematical Modelling and Numerical Analysis 49 (2015), no. 4, 1019-1046.
  3. LEI WU; Boundary Layer of Transport Equation with In-Flow Boundary. Archive for Rational Mechanics
    and Analysis 235 (2020), no. 3, 2085-2169.
  4. ROWAN KILLIP and ZHIMENG OUYANG and MONICA VISAN and LEI WU; Continuum Limit for the
    Ablowitz–Ladik System. Nonlinearity. 36 (2023), no. 7, 3751.

Teaching

MATH 021/022: Calculus
MATH 205: Linear Methods
MATH 301: Principles of Analysis
MATH 319: Introduction to Differential Equations
MATH 320: Ordinary Differential Equations
MATH 401/402: Real Analysis
MATH 405: Partial Differential Equations