Search Results - "Hong, Seokchang"

Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge by Cho, Yonggeun, Hong, Seokchang

“…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 sl ( n , C )…”
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On the global well-posedness of focusing energy-critical inhomogeneous NLS by Cho, Yonggeun, Hong, Seokchang, Lee, Kiyeon

“…We consider the focusing energy-critical inhomogeneous nonlinear Schrödinger equation: i u t + Δ u + g | u | p - 1 u = 0 , u ( 0 ) = φ ∈ H ˙ 1 , where 0 ≤ g i…”
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Scattering of cubic Dirac equations with a general class of Hartree-type nonlinearity for the critical Sobolev data by Hong, Seokchang

“…Recently low-regularity behaviour of solutions to cubic Dirac equations with the Hartree-type nonlinearity has been extensively studied in somewhat a specific…”
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Improved multilinear estimates and global regularity for general nonlinear wave equations in $(1+3)$ dimensions by Hong, Seokchang

“…This paper is devoted to the investigation of long-time behaviour of solutions to wave equations with quadratic nonlinearity and cubic Dirac equations with…”
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Global well-posedness and scattering of the energy critical Maxwell-Klein-Gordon system in the Lorenz gauge by Hong, Seokchang

“…We study initial value problem of the $(1+4)$-dimensional Maxwell-Klein-Gordon system (MKG) in the Lorenz gauge. Since (MKG) in the Lorenz gauge does not…”
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A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge by Hong, Seokchang

“…We study the failure of the smoothness of flow maps for the $(1+3)$ dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows…”
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On the scaling critical regularity of the Yang-Mills-Higgs and the Yang-Mills-Dirac system in the Lorenz gauge by Hong, Seokchang

“…In this paper, we study the local well-posedness of the $(1+3)$-dimensional Yang-Mills-Higgs (YMH) and the Yang-Mills-Dirac (YMD) system in the Lorenz gauge…”
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On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge by Hong, Seokchang

“…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 $B^\frac12_{2,1}\times…”
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On the NLS approximation for the nonlinear Klein-Gordon equation by Hong, Seokchang, Hong, Younghun

“…In this paper, developing a new approach based on Fourier analysis methods for dispersive PDEs, we establish a low regularity NLS approximation for the…”
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Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge by Cho, Yongguen, Hong, Seokchang

“…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…”
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Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality by Cho, Yonggeun, Hong, Seokchang, Ozawa, Tohru

“…Journal of Math. Phys (2023) We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from pseudoscalar…”
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Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge by Hong, Seokchang, Lee, Kiyeon

“…In this paper, we study the local well-posedness of Chern-Simons-Dirac system in the Coulomb gauge for initial data in $H^s(\mathbb R^2)$ for $s>0$. The…”
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Well-posedness in a critical space of Chern-Simons-Dirac system in the Lorenz gauge by Cho, Yonggeun, Hong, Seokchang

“…In this paper, we consider the Cauchy problem of local well-posedness of the Chern-Simons-Dirac system in the Lorenz gauge for $B^{\frac14}_{2,1}$ initial…”
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Conditional large-data global well-posedness of Dirac equation with Hartree-type nonlinearity by Cho, Yonggeun, Hong, Seokchang, Lee, Kiyeon

“…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…”
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Scattering and non-scattering of the Hartree-type nonlinear Dirac system at critical regularity by Cho, Yonggeun, Hong, Seokchang, Lee, Kiyeon

“…We consider Cauchy problem of the Hartree-type nonlinear Dirac equation with potentials given by $V_b(x) = \frac1{4\pi}\frac{e^{-b|x|}}{|x|}\, (b \ge 0)$. In…”
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On the GWP of focusing energy-ciritical inhomogeneous NLS by Cho, Yonggeun, Hong, Seokchang, Lee, Kiyeon

“…We consider the focussing energy-critical inhomogeneous nonlinear Schr\"odinger equation: $$ iu_t + \Delta u + g|u|^2u = 0, u(0)= \varphi \in \dot{H}^1,\;\; 0…”
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