Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Hong, Younghun"'
Autor:
Hadama, Sonae, Hong, Younghun
The nonlinear Hartree equation (NLH) in the Heisenberg picture admits steady states of the form $\gamma_f=f(-\Delta)$ representing quantum states of infinitely many particles. In this article, we consider the time evolution of perturbations from a la
Externí odkaz:
http://arxiv.org/abs/2404.06730
Autor:
Hong, Younghun, Yang, Changhun
The Korteweg-de Vries (KdV) equation is known as a universal equation describing various long waves in dispersive systems. In this article, we prove that in a certain scaling regime, a large class of rough solutions to the Boussinesq equation are app
Externí odkaz:
http://arxiv.org/abs/2403.16648
We are concerned with the semi-classical limit for ground states of the relativistic Hartree-Fock energies (HF) under a mass constraint, which are considered as the quantum mean-field model of white dwarfs \cite{LeLe}. In Jang and Seok \cite{JS}, fer
Externí odkaz:
http://arxiv.org/abs/2401.12493
We consider the Gabitov-Turitsyn equation or the dispersion managed nonlinear Schr\"odinger equation of a power-type nonlinearity \[ i\partial_t u+ d_\text{av} \partial_x^2u+\int_0^1 e^{-ir\partial_x^2}\big(|e^{ir\partial_x^2}u|^{p-1}e^{ir\partial_x^
Externí odkaz:
http://arxiv.org/abs/2311.02905
Autor:
Hong, Younghun, Jin, Sangdon
The Vlasov-Schr\"odinger-Poisson system is a kinetic-quantum hybrid model describing quasi-lower dimensional electron gases. For this system, we construct a large class of 2D kinetic/1D quantum steady states in a bounded domain as generalized free en
Externí odkaz:
http://arxiv.org/abs/2210.08686
Autor:
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 one-dimensional cubic Klein-Gordon equation. Our main result includes energy class solutions which
Externí odkaz:
http://arxiv.org/abs/2208.11240
Autor:
Hong, Younghun, Jin, Sangdon
We consider the 3D cubic nonlinear Schr\"odinger equation (NLS) with a strong toroidal trap. In the first part, we show that as the confinement is strengthened, a large class of global solutions to the time-dependent model can be described by 1D flow
Externí odkaz:
http://arxiv.org/abs/2204.12328
Publikováno v:
In Nonlinear Analysis February 2025 251
Autor:
Jin, Sangdon, Hong, Younghun
We consider the 3d cubic nonlinear Schr\"odinger equation (NLS) with a strong 2d harmonic potential. The model is physically relevant to observe the lower-dimensional dynamics of the Bose-Einstein condensate, but its ground state cannot be constructe
Externí odkaz:
http://arxiv.org/abs/2107.05185
Autor:
Jin, Sangdon, Hong, Younghun
For the one-dimensional mass-critical/supercritical pseudo-relativistic nonlinear Schrodinger equation, a stationary solution can be constructed as an energy minimizer under an additional kinetic energy constraint and the set of energy minimizers is
Externí odkaz:
http://arxiv.org/abs/2107.05182