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Lu, Zhongxue,Liu, Zuhan Korean Mathematical Society 2013 대한수학회보 Vol.50 No.5
In this paper, we consider two-component Bose-Einstein condensates with an internal atomic Josephson junction in the general case, i.e., 0 < p < $\frac{2}{(d-2)^+}$. We prove existence and uniqueness results for the ground states, and obtain some properties of the ground states with large parameters.
SHARP THRESHOLDS OF BOSE-EINSTEIN CONDENSATES WITH AN ANGULAR MOMENTUM ROTATIONAL TERM
Zhongxue Lü,Zuhan Liu 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, we establish a sharp condition of global existence for the solution of the Gross-Pitaevskii equation with an angular momentum rotational term. This condition is related to the ground state solution of some steady-state nonlinear Schrodinger equation.
Zhongxue Lu,Zuhan Liu 대한수학회 2013 대한수학회보 Vol.50 No.5
In this paper, we consider two-component Bose-Einstein con- densates with an internal atomic Josephson junction in the general case, i.e., 0 < p < 2 (d−2)+ . We prove existence and uniqueness results for the ground states, and obtain some properties of the ground states with large parameters.
Local well-posedness for the nonlinear Schr[문자]dinger equation with harmonic potential in H^s
Shan Zhang,Zuhan Liu,Zhongxue Lu 대한수학회 2011 대한수학회보 Vol.48 No.6
We establish the local well-posedness for the Cauchy problem of the nonlinear Schr[문자]dinger equation with harmonic potential in H^s(R^n), where s∈R, s>0.
SHARP THRESHOLDS OF BOSE-EINSTEIN CONDENSATES WITH AN ANGULAR MOMENTUM ROTATIONAL TERM
Lu, Zhongxue,Liu, Zuhan The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, we establish a sharp condition of global existence for the solution of the Gross-Pitaevskii equation with an angular momentum rotational term. This condition is related to the ground state solution of some steady-state nonlinear Schrodinger equation.
Lei, Yuzhu,Liu, Zuhan,Zhou, Ling Korean Mathematical Society 2020 대한수학회보 Vol.57 No.5
In this paper, we consider a two-species parabolic-parabolic-elliptic chemotaxis system with weak competition and a fractional diffusion of order s ∈ (0, 2). It is proved that for s > 2p<sub>0</sub>, where p<sub>0</sub> is a nonnegative constant depending on the system's parameters, there admits a global classical solution. Apart from this, under the circumstance of small chemotactic strengths, we arrive at the global asymptotic stability of the coexistence steady state.
LOCAL WELL-POSEDNESS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL IN H<sup>s</sup>
Zhang, Shan,Liu, Zuhan,Lu, Zhongxue Korean Mathematical Society 2011 대한수학회보 Vol.48 No.6
We establish the local well-posedness for the Cauchy problem of the nonlinear Schr$\ddot{o}$odinger equation with harmonic potential in $H^s(\mathbb{R}^n)$, where $s{\in}\mathbb{R}$, s > 0.
A Receiver-Driven Loss Recovery Mechanism for Video Dissemination over Information-Centric VANET
( Longzhe Han ),( Xuecai Bao ),( Wenfeng Wang ),( Xiangsheng Feng ),( Zuhan Liu ),( Wenqun Tan ) 한국인터넷정보학회 2017 KSII Transactions on Internet and Information Syst Vol.11 No.7
Information-Centric Vehicular Ad Hoc Network (IC-VANET) is a promising network architecture for the future intelligent transport system. Video streaming applications over IC-VANET not only enrich infotainment services, but also provide the drivers and pedestrians real-time visual information to make proper decisions. However, due to the characteristics of wireless link and frequent change of the network topology, the packet loss seriously affects the quality of video streaming applications. In this paper, we propose a REceiver-Driven loss reCOvery Mechanism (REDCOM) to enhance video dissemination over IC-VANET. A Markov chain based estimation model is introduced to capture the real-time network condition. Based on the estimation result, the proposed REDCOM recovers the lost packets by requesting additional forward error correction packets. The REDCOM follows the receiver-driven model of IC-VANET and does not require the infrastructure support to efficiently overcome packet losses. Experimental results demonstrate that the proposed REDCOM improves video quality under various network conditions.