Pak, Hee Chul | Department of Mathematics
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Introduction
<Research interests>
1. Nonlinear partial differential equations
1) Existence and uniqueness theory for parabolic PDE such as
Euler equations, Nonlinear Schrodinger (& heat) equations,
Navier-Stokes equations, Porous medium equations
2) Fluid mechanics: Euler equations, Navier-Stokes equations
3) Homogenizations for parabolic PDE: analysis on porous medium
Nonlinear heat equations, Navier-Stokes equations,
Maxwell equations
2. Harmonic analysis:
1) The best constants for functional inequalities such as Sobolev trace inequalities, Hardy inequality
2) Littlewood-Paley theory
3) Study on new function spaces
Teaching Philosophy
Mathematics without memorization
Fun mathematics
Research
Harmonic analysis
Partial differential equations