Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Lee, Yongki"'
We study the $L^2$-critical damped NLS with a Stark potential. We prove that the threshold for global existence and finite time blowup of this equation is given by $\|Q\|_2$, where $Q$ is the unique positive radial solution of $\Delta Q + |Q|^{4/d} Q
Externí odkaz:
http://arxiv.org/abs/2306.05931
In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics with conca
Externí odkaz:
http://arxiv.org/abs/2304.07639
Autor:
Lee, Yongki
We extend the wave breaking condition in Seliger's work [Proc. R. Soc. Lond. Ser. A., 303 (1968)], which has been used widely to prove wave breaking phenomena for nonlinear nonlocal shallow water equations.
Externí odkaz:
http://arxiv.org/abs/2210.13405
Autor:
Lee, Yongki
The Euler-Poisson (EP) system describes the dynamic behavior of many important physical flows. In this work, a Riccati system that governs two-dimensional EP equations is studied. The evolution of divergence is governed by the Riccati type equation w
Externí odkaz:
http://arxiv.org/abs/2203.01145
Autor:
Ryu, DongHun, Ryu, Dongmin, Baek, YoonSeok, Cho, Hyungjoo, Kim, Geon, Kim, Young Seo, Lee, Yongki, Kim, Yoosik, Ye, Jong Chul, Min, Hyun-Seok, Park, YongKeun
Optical diffraction tomography measures the three-dimensional refractive index map of a specimen and visualizes biochemical phenomena at the nanoscale in a non-destructive manner. One major drawback of optical diffraction tomography is poor axial res
Externí odkaz:
http://arxiv.org/abs/2009.13777
Autor:
Lee, Yongki
This paper studies the two-dimensional Euler-Poisson equations associated with either attractive or repulsive forces. We mainly study the Riccati system that governs the flow's gradient. Under a suitable condition, it is shown that the Euler-Poisson
Externí odkaz:
http://arxiv.org/abs/2009.00580
Autor:
Lee, Yongki
The Euler-Poisson(EP) system describes the dynamic behavior of many important physical flows. In this work, a Riccati system that governs the flow's gradient is studied. The evolution of divergence is governed by the Riccati type equation with severa
Externí odkaz:
http://arxiv.org/abs/2007.07960
Autor:
Lee, Yongki, Tan, Changhui
We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the global smooth solutions and finite time wave break-down.
Comment: 21 p
Comment: 21 p
Externí odkaz:
http://arxiv.org/abs/1905.05090
Autor:
Lee, Yongki
Motivated by the traffic flow model with Arrhenius look-ahead relaxation dynamics introduced in [A. Sopasakis and M.A. Katsoulakis, SIAM J. Appl. Math., 66 (2006), p. 921--944], this paper proposes a traffic flow model with look ahead relaxation-behi
Externí odkaz:
http://arxiv.org/abs/1903.08328
Autor:
Lee, Yongki
For models describing water waves, Constantin and Escher's works have long been considered as the cornerstone method for proving wave breaking phenomena. Their rigorous analytic proof shows that if the lowest slope of flows can be controlled by its h
Externí odkaz:
http://arxiv.org/abs/1812.10406