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RISS 인기검색어
- 검색키워드
- 저자 : Haixia Gao (검색결과 6 건)
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Han, Yuzhu,Gao, Wenjie,Li, Haixia Korean Mathematical Society 2014 대한수학회보 Vol.51 No.1
In this paper, the authors establish the conditions for the extinction of solutions, in finite time, of the fast diffusive p-Laplace equation $u_t=div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)+a{\int}_{\Omega}u^q(y,t)dy$, 1 < p < 2, in a bounded domain ${\Omega}{\subset}R^N$ with $N{\geq}1$. More precisely, it is shown that if q > p-1, any solution vanishes in finite time when the initial datum or the coefficient a or the Lebesgue measure of the domain is small, and if 0 < q < p-1, there exists a solution which is positive in ${\Omega}$ for all t > 0. For the critical case q = p-1, whether the solutions vanish in finite time or not depends crucially on the value of $a{\mu}$, where ${\mu}{\int}_{\Omega}{\phi}^{p-1}(x)dx$ and ${\phi}$ is the unique positive solution of the elliptic problem -div(${\mid}{\nabla}{\phi}{\mid}^{p-2}{\nabla}{\phi}$) = 1, $x{\in}{\Omega}$; ${\phi}(x)$=0, $x{\in}{\partial}{\Omega}$. This is a main difference between equations with local and nonlocal sources.
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Annealing Effect on the Electron Spin Dynamics in Heavily Mn-doped (Ga,Mn)As
Han Yue,Lin Chen,Haixia Gao,Jianhua Zhao,Xinhui Zhang 한국물리학회 2014 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.64 No.10
A temperature- and photo-excitation-density-dependent electron spin dephasing process has beenstudied by time-resolved magneto-optical Kerr effect (TR-MOKE) measurements for heavily-doped(Ga,Mn)As after appropriate annealing treatment. Unlike the as-grown (Ga,Mn)As in which sdscattering is dominant for spin dephasing at low temperature, the exchange scattering inducedby Mn ions is efficiently suppressed after annealing. For annealed (Ga,Mn)As, the p-d exchangecoupling proves to be important for the electron spin dephasing process. Moreover, the Coulombscattering arising from the weakly-localized holes and Mn impurities is revealed to play an importantrole in the electron spin dephasing after annealing. Our results demonstrate that the impurityinduceddisorder plays a significant role in the electron spin-dephasing process in (Ga,Mn)As whenMn is over doped by as much as 15%, which is a critical issue that needs to be considered to achievehigh-quality (Ga,Mn)As thin films with a higher Curie temperature TC and better functionality.
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Yuzhu Han,Wenjie Gao,Haixia Li 대한수학회 2014 대한수학회보 Vol.51 No.1
In this paper, the authors establish the conditions for the extinction of solutions, in finite time, of the fast diffusive $p$-Laplace equation $u_t=\mathrm{div}(|\nabla u|^{p-2}\nabla u)+a\int_\Omega u^q(y,t)dy$, $1<p<2$, in a bounded domain $\Omega\subset R^N$ with $N\geq1$. More precisely, it is shown that if $q>p-1$, any solution vanishes in finite time when the initial datum or the coefficient $a$ or the Lebesgue measure of the domain is small, and if $0<q<p-1$, there exists a solution which is positive in $\Omega$ for all $t>0$. For the critical case $q=p-1$, whether the solutions vanish in finite time or not depends crucially on the value of $a\mu$, where $\mu=\int_{\Omega}\phi^{p-1}(x)\mathrm{d}x$ and $\phi$ is the unique positive solution of the elliptic problem $-\mathrm{div}(|\nabla \phi|^{p-2}\nabla \phi)=1$, $x\in \Omega$; $\phi(x)=0$, $x\in\partial\Omega$. This is a main difference between equations with local and nonlocal sources.
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Exhaust gas based nanoarchitectonics for porous carbon materials for high-performance supercapacitor
Juan Du,Aibing Chen,Xueqing Gao,Haixia Wu 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.109 No.-
Pyrolyzing carbon precursors will also lead to a large amount of exhaust gas, which is a waste ofresources and a huge pollution. Therefore, realizing the full utilization of exhaust gas from carbon precursorsis significant. Herein, cobalt (Co) modified hard templates with micropores or mesopores is used toprepare porous carbon for supercapacitors, in which Co species provide the active sites for the captureand deposition of exhaust gas derived from zeoliticimidazolate framework. Using N2 as protective andcarrier gas, the whole process can be realized in a simple tubular furnace. The obtained PC can replicatethe morphology and pore structure of the hard template with the characteristics of micropores or mesoporesrespectively. The microporous structure of PC gives it higher surface area and pore volume than PCwith mesopores, which makes it have high capacitance of 445.7 F g1 in supercapacitor.
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Zhanggen Guo,Ling Zhou,Qiansen Sun,Zhiwei Gao,Qinglong Miao,Haixia Ding Techno-Press 2023 Advances in concrete construction Vol.16 No.6
Using industrial wastes and construction and demolition (C&D) wastes is potentially advantageous for concrete production in terms of sustainability improvement. In this paper, a sustainable Self-Compacting Concrete (SCC) made with industrial wastes and C&D wastes was proposed by considerably replacing natural counterparts with recycled coarse aggregates (RCAs) and supplementary cementitious materials (SCMs) (i.e., Fly ash (FA), ground granulated blast furnace slag (GGBS) and silica fume (SF)). A total of 12 SCC mixes with various RCAs and different combination SCMs were prepared, which comprise binary, ternary and quaternary mixes. The mechanical properties in terms of compressive strength and static elasticity modulus of recycled aggregates (RA-SCC) mixes were determined and analyzed. Microstructural study was implemented to analyze the reason of improvement on mechanical properties. By means of life cycle assessment (LCA) method, the environmental impacts of RA-SCC with various RCAs and SCMs were quantified, analyzed and compared in the system boundary of "cradle-to-gate". In addition, the comparison of LCA results with respect to mechanical properties was conducted. The results demonstrate that the addition of proposed combination SCMs leads to significant improvement in mechanical properties of quaternary RA-SCC mixes with FA, GGBS and SF. Furthermore, quaternary RA-SCC mixes emit lowest environmental burdens without compromising mechanical properties. Thus, using the combination of FA, GGBS and SF as cement substitution to manufacture RA-SCC significantly improves the sustainability of SCC by minimizing the depletion of cement and non-renewable natural resources.
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Optimal LQG Control for Networked Control Systems with Remote and Local Controllers
Xiao Liang,Juanjuan Xu,Xiao Lu,Qingyuan Qi,Haixia Wang,Rong Gao 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.1
We consider the finite horizon optimal LQG control problem for networked control systems with a remote controller, a local controller and communication channels with packet dropouts and transmission delays. The local controller can directly observe state signals and send them to the remote controller via a packet-dropout channel. Then the remote controller sends the received measurement signals to the local controller. Afterwards, the two controllers operate the plant through a delayed channel. The contributions of this paper are as follows: Firstly, at the side of the remote controller, we develop an optimal estimator to show that the separation principle holds. Secondly, we derive a non- homogeneous relationship between the state and the costate of systems in virtue of the maximum principle. Finally, a necessary and sufficient condition for the optimal control problem is derived in terms of the two coupled Riccati equations. Numerical examples are employed to illustrate the theoretical results.
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