HEAT-CONDUCTION

作品数:15被引量:32H指数:3
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相关领域:理学更多>>
相关作者:朱国同李斌付志方李子顺更多>>
相关机构:中国石油天然气集团公司中国科学院更多>>
相关期刊:《Journal of Thermal Science》《Applied Mathematics and Mechanics(English Edition)》《Numerical Mathematics(Theory,Methods and Applications)》《Science China Mathematics》更多>>
相关基金:国家自然科学基金更多>>
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Black-hole-inspired thermal trapping with graded heat-conduction metadevices被引量:1
《National Science Review》2023年第2期126-133,共8页Liujun Xu Jinrong Liu Peng Jin Guoqiang Xu Jiaxin Li Xiaoping Ouyang Ying Li Cheng-Wei Qiu Jiping Huang 
supported by the National Natural Science Foundation of China(11725521 and 12035004 to J.H.,92163123 to Y.L.);the Science and Technology Commission of Shanghai Municipality(20JC1414700 to J.H.);the Singapore Ministry of Education(A-8000107-01-00 to C.-W.Q)。
The curved space-time produced by black holes leads to the intriguing trapping effect.So far,metadevices have enabled analogous black holes to trap light or sound in laboratory spacetime.However,trapping heat in a con...
关键词:thermal trapping graded metadevices imitated advection ference between wave 
Blowup Criteria for Full Compressible Navier-Stokes Equations with Vacuum State
《Chinese Annals of Mathematics,Series B》2017年第3期741-758,共18页Yongfu WANG Shan LI 
supported by the Sichuan Youth Science and Technology Foundation(No.2014JQ0003)
This paper deals with the global strong solution to the three-dimensional(3D)full compressible Navier-Stokes systems with vacuum. The authors provide a sufficient condition which requires that the Sobolev norm of the ...
关键词:Compressible Navier-Stokes equations Heat-conduction Blowup criterion Divergence of velocity 
A Class of High Accuracy Explicit Difference Schemes for Solving the Heat-conduction Equation of High-dimension被引量:1
《Chinese Quarterly Journal of Mathematics》2010年第2期236-243,共8页CHEN Zhen-zhong MA Xiao-xia 
Supported by NSF of the Education Department of Henan Province(20031100010)
In this paper, a class of explicit difference schemes with parameters for solving five-dimensional heat-conduction equation are constructed and studied.the truncation error reaches O(τ^2+ h%4), and the stability c...
关键词:heat-conduction equation explicit difference scheme truncation error conditional stability 
A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation被引量:3
《Chinese Quarterly Journal of Mathematics》2008年第3期446-452,共7页MA Ming-shu MA Ju-yi GU Shu-min ZHU Lin-lin 
NSF of the Education Department of Henan Province(20031100010)
A high-order accuracy explicit difference scheme for solving 4-dimensional heatconduction equation is constructed. The stability condition is r = △t/△x^2 = △t/△y^2 = △t/△z^2 = △t/△w^2 〈 3/8, and the truncatio...
关键词:heat-conduction equation explicit difference scheme high-order accuracy branching stability 
Continuously Dependent on Boundary Value for Solution of Semi-liner Heat-conduction Equation
《Chinese Quarterly Journal of Mathematics》2008年第1期140-143,共4页曹殿立 王建平 
the NNSF of Henan Province(07230041080)
Reference [1] deals with the uniqueness of solution to problem (A) and solution of problem (A) is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of ...
关键词:semi-liner heat-conduction equation boundary value problem continuously dependent 
Length Dependence of Thermal Conductivity of Single-Walled Carbon Nanotubes被引量:1
《Chinese Physics Letters》2007年第5期1321-1323,共3页潘瑞芹 许子健 朱志远 
Dependence of the thermal conductivity on the length of two armchair single-walled carbon nanotubes (SWNTs) is studied by the nonequilibrium molecular dynamics (MD) method with Brenner Ⅱ potential. The thermal co...
关键词:MOLECULAR-DYNAMICS SIMULATION HEAT-CONDUCTION TRANSPORT 
A Newton type iterative method for heat-conduction inverse problems
《Applied Mathematics and Mechanics(English Edition)》2007年第4期531-539,共9页贺国强 孟泽红 
An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. ...
关键词:inverse problems nonlinear ill-posed operator equations Newton type method implicit iterative method iteration stopping rule 
Acoustic Phonon Thermal Transport through a Nanostructure
《Chinese Physics Letters》2006年第9期2522-2525,共4页李文霞 柳天宇 刘昌龙 
Supported by the National Natural Science Foundation of China under Grant No 10547132, and the Young Teacher Foundation of Tianjin University under Grant No 5110117.
Using the scattering matrix method, we investigate the thermal transport m a nanostructure at low temperarures. It is found that phonon transport exhibits some novel and interesting features: resonant transmission, r...
关键词:ELECTRON-TRANSPORT HEAT-CONDUCTION QUANTUM WIRES SUPERLATTICES MODE TEMPERATURE NANOWIRES 
A New Heat-conduction Logging Technique and its Application
《Applied Geophysics》2005年第2期85-88,i0001,共5页李斌 李子顺 朱国同 付志方 
The results of a heat-conduction experiment with a central point source in a sand barrel shows that the temperature of the heat source increase much faster in sand saturated with oil and air (dry sand) than in water...
关键词:Heat-conduction rate porous medium LOGGING oil and gas evaluation 
Backward Time Difference Collocation Method and Error Analysis for the Semiconductor Problem
《Northeastern Mathematical Journal》2003年第1期9-18,共10页刘蕴贤 
The NNSF.MTYF(10126029)of China and the YF of Shandong University.
Collocation method is put forward to solve the semiconductor problem with heat-conduction, whose mathematical model is described by an initial and boundary problem for a nonlinear partial differential equation system....
关键词:semiconductor device HEAT-CONDUCTION collocation method error estimate 
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