5 papers
Modified Scattering for the Time-Dependent Kohn--Sham Equation
Masaki Kawamoto, Jinyeop Lee, Changhun Yang +1
We study the long-time behavior of the (critical) Kohn--Sham equation in two and three dimensions, i.e.,\[ \mathrm{i} \partial_t γ = \Big[-\frac{1}{2}Δ+ λ\, |\cdot|^{-1} \ast ρ_{γ}…
Commutator Estimates for Low-Temperature Fermi Gases
Jacky J. Chong, Laurent Lafleche, Jinyeop Lee +1
We investigate the semiclassical regularity of thermal equilibria in the presence of a harmonic potential at low temperature; that is, we obtain the asymptotic behavior of the Scha…
The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials
Jinyeop Lee, Kunlun Qi
We study the semiclassical limit of the two-dimensional Dirac--Hartree equation in the presence of a periodic external potential. The spinor dynamics are formulated using the matri…
Derivation of the Chern-Simons-Schrödinger equation from the dynamics of an almost-bosonic-anyon gas
Théotime Girardot, Jinyeop Lee
We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be w…
Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity
Jinyeop Lee, Andrew Rout
We study the solution theory of the nonlinear Schrödinger equation with a concentrated nonlinearity on the torus. In particular, we establish existence and uniqueness of global en…