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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.
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
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.
Design of Marine Search and Rescue Route Based on an Ant Colony System Algorithm
Xiangfei Meng,Zhongxu Liu,Suyu Zhang,Yancai Hu 국제이네비해양경제학회 2021 International Journal of e-Navigation and Maritime Vol.17 No.1
With the development of the global marine transportation industry, marine accidents frequently occur due to the complex and changeable climate environment, and maritime search and rescue work has thus received much attention. To improve marine search and rescue operations, an algorithm for environmental modeling and search path optimization based on an ant colony system is proposed. First, MAKLINK is selected to build an ecological model. Secondly, the relevant parameters of the ant colony system algorithm are established, and the search and rescue route is designed. Finally, simulations of the environmental model and route design are constructed in search and rescue waters in Zhoushan, Zhejiang Province, using MATLAB. Experimental results prove the validity of this algorithm.
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.
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.
A Hybrid Energy Storage System for an Electric Vehicle and Its Effectiveness Validation
Chunhua Zheng,Yafei Wang,Zhongxu Liu,Tianfu Sun,Namwook Kim,Jongryeol Jeong,차석원 한국정밀공학회 2021 International Journal of Precision Engineering and Vol.8 No.6
A hybrid energy storage system (HESS), which consists of a battery and a supercapacitor, presents good performances on both the power density and the energy density when applying to electric vehicles. In this research, an HESS is designed targeting at a commercialized EV model and a driving condition-adaptive rule-based energy management strategy (EMS) is proposed for the HESS, which takes into account the superiority achievement of each ESS and also the protection to each ESS. The effectiveness of the HESS plus the EMS compared to the single battery case is validated by both the computer simulation and the semi-physical rapid control prototype (RCP) test bench. An electric loading equipment is adopted in the RCP experiment validation for simulating the vehicle driving cycle instead of the traditional combination of a motor and a dynamometer. Both validation results show that compared to the single battery case, the working status of the battery is stabilized by the addition of the supercapacitor in the HESS case during both the propelling and regeneration modes and the battery energy is also saved. A dynamic degradation model for the battery is adopted in order to evaluate the life cycle cost of the HESS. Results show that the HESS plus the EMS has the effect of prolonging the battery lifetime and the HESS is economically effective compared to the single battery case.