3 citations · 11 across the 15 of their papers we have counts for
15 papers
A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime
Seokchang Hong
We study a nonlinear tensorial wave-Dirac system on -dimensional asymptotically flat spacetimes as a semilinear model motivated by the Maxwell-Dirac and Einstein-Dirac syste…
Scattering of cubic Dirac equations with a general class of Hartree-type nonlinearity for the critical Sobolev data
Seokchang Hong
Recently low-regularity behaviour of solutions to cubic Dirac equations with the Hartree-type nonlinearity has been extensively studied in somewhat a specific assumption on the str…
On the NLS approximation for the nonlinear Klein-Gordon equation
Seokchang Hong, Younghun Hong
In this paper, developing a new approach based on Fourier analysis methods for dispersive PDEs, we establish a low regularity NLS approximation for the one-dimensional cubic Klein-…
Improved multilinear estimates and global regularity for general nonlinear wave equations in dimensions
Seokchang Hong
This paper is devoted to the investigation of long-time behaviour of solutions to wave equations with quadratic nonlinearity and cubic Dirac equations with Hartree-type nonlinearit…
Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality
Yonggeun Cho, Seokchang Hong, Tohru Ozawa
We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from pseudoscalar field. We establish scattering for large data but w…
Conditional large-data global well-posedness of Dirac equation with Hartree-type nonlinearity
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential in two and three spatial dimensions. This paper improves our previous results…
Scattering and non-scattering of the Hartree-type nonlinear Dirac system at critical regularity
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We consider Cauchy problem of the Hartree-type nonlinear Dirac equation with potentials given by . In previous works, a standa…
Global well-posedness and scattering of the energy critical Maxwell-Klein-Gordon system in the Lorenz gauge
Seokchang Hong
We study initial value problem of the -dimensional Maxwell-Klein-Gordon system (MKG) in the Lorenz gauge. Since (MKG) in the Lorenz gauge does not possess an obvious null st…
A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge
Seokchang Hong
We study the failure of the smoothness of flow maps for the dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows a gap between the sc…
On the scaling critical regularity of the Yang-Mills-Higgs and the Yang-Mills-Dirac system in the Lorenz gauge
Seokchang Hong
In this paper, we study the local well-posedness of the -dimensional Yang-Mills-Higgs (YMH) and the Yang-Mills-Dirac (YMD) system in the Lorenz gauge. Since there is some bi…
On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge
Seokchang Hong
In this paper, we prove the local well-posedness of the Yang-Mills system in the Lorenz gauge for initial data in the Besov space with ad…
Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge
Yongguen Cho, Seokchang Hong
In this paper we consider a Cauchy problem on the self-dual relativistic non-abelian Chern-Simons-Higgs model, which is the system of equations of -va…
Well-posedness in a critical space of Chern-Simons-Dirac system in the Lorenz gauge
Yonggeun Cho, Seokchang Hong
In this paper, we consider the Cauchy problem of local well-posedness of the Chern-Simons-Dirac system in the Lorenz gauge for initial data. We improve the low…
Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge
Seokchang Hong, Kiyeon Lee
In this paper, we study the local well-posedness of Chern-Simons-Dirac system in the Coulomb gauge for initial data in for . The novelty of this paper is to…
On the GWP of focusing energy-ciritical inhomogeneous NLS
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We consider the focussing energy-critical inhomogeneous nonlinear Schrödinger equation: On the r…