2 citations · 6 across the 10 of their papers we have counts for
15 papers · 1 filter
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…