| 강연자 | 김기현 |
|---|---|
| 소속 | 서울대학교 |
| date | 2024-09-12 |
This talk concerns the problem of classifying long-term dynamics for critical evolutionary PDEs. I will first discuss what the critical PDEs are and soliton resolution for these equations. Building upon soliton resolution, I will further introduce the classification problem. Finally, I will also touch on a potential instability mechanism of finite-time singularities for some critical PDEs, suggesting the global existence of generic solutions.
Mixed type PDEs and compressible flow
Mixing time of random processes
Noise-induced phenomena in stochastic heat equations
Non-commutative Lp-spaces and analysis on quantum spaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Noncommutative Surfaces
Nonlocal generators of jump type Markov processes
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Number theoretic results in a family
On circle diffeomorphism groups
On classification of long-term dynamics for some critical PDEs
On function field and smooth specialization of a hypersurface in the projective space
On Ingram’s Conjecture
On some nonlinear elliptic problems
On the distributions of partition ranks and cranks
On the resolution of the Gibbs phenomenon
On the Schauder theory for elliptic PDEs
One and Two dimensional Coulomb Systems
Partial differential equations with applications to biology
Periodic orbits in symplectic geometry
