5 citations · 5 across the 4 of their papers we have counts for
4 papers
Cauchy problem for Dirac equations with Chern-Simons-Proca gauge field
Hyungjin Huh, Kiyeon Lee
In this paper, we consider the Cauchy problem of Dirac equations with Chern-Simons-Proca (CSP) gauge field. We investigate global well-posedness and scattering theory for the solut…
Chern-Simons-Schrodinger theory on a one-dimensional lattice
Hyungjin Huh, Swaleh Hussain, Dmitry E. Pelinovsky
We propose a gauge-invariant system of the Chern-Simons-Schrodinger type on a one-dimensional lattice. By using the spatial gauge condition, we prove local and global well-posednes…
Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions
Hyungjin Huh, Dmitry E. Pelinovsky
We address a general system of nonlinear Dirac equations in (1+1) dimensions and prove nonexistence of classical self-similar blowup solutions in the space of bounded functions. Wh…
Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
Hyungjin Huh, Sung-Jin Oh
In this paper, we address the problem of local well-posedness of the Chern-Simons-Dirac (CSD) and the Chern-Simons-Higgs (CSH) equations in the Lorenz gauge for low regularity init…