Grants and Funds:
- NSF Grant DMS-1853002, DMS-2104775
- Simons Collaboration Grant for Mathematician (pre-award)
Research Interest
Partial differential equations; numerical analysis; mathematical physics.
Kinetic Theory
- Hydrodynamic Limits with Boundary Effects
- Neutron Transport Equation and Radiative Transfer Equation
- Relativistic and Quantum Boltzmann/Landau Equation
- Vlasov-Poisson/Maxwell System
- Vlasov-Poisson/Maxwell-Boltzmann/Landau System
Fluid Mechanics
- Viscous Surface Wave
- Surfactant-Driven Surface Wave
- Droplet with Contact Line
- Hydrodynamic Stability
Solid Mechanics
- Dislocation of Crystals/Quasi-Crystals
- Free Energy with Variational Methods
Dispersive Equations
- Korteweg–De Vries Equation
- Nonlinear Schrodinger Equation/Modified Korteweg–De Vries Equation
- Continuum Limit of Ablowitz-Ladik Model
Numerical Analysis
- Discontinuous Galerkin Method
- Asymptotic-Preserving Schemes and Stiff Problems
Lei Wu 