Continuous dependence of heat flux on spatial geometry for the generalized Maxwell-Cattaneo system

Changhao Lin; L. E. Payne

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Continuous dependence of heat flux on spatial geometry for the generalized Maxwell-Cattaneo system

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Continuous dependence of heat flux on spatial geometry for the generalized Maxwell-Cattaneo system

机译：广义Maxwell-Cattaneo系统的热通量对空间几何形状的连续依赖性

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摘要

In the Generalized Maxwell-Cattaneo equations the temperature and heat flux are separate variables that are related through a system of partial differential equations. In a previous paper [5] the authors established continuous dependence of the temperature on spatial geometry. In this paper inequalities are derived which imply continuous dependence of the heat flux on spatial geometry. The arguments employed here are quite different and more complicated than those of the previous paper.

机译：在广义Maxwell-Cattaneo方程中，温度和热通量是单独的变量，它们通过偏微分方程组建立关联。在先前的论文中[5]，作者建立了温度对空间几何形状的连续依赖性。在本文中，得出了不等式，这意味着热通量对空间几何形状的连续依赖性。与前面的论文相比，这里使用的论点有很大的不同，并且更加复杂。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2004年第4期|共17页
作者
Changhao Lin; L. E. Payne;
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正文语种 eng
中图分类应用数学;
关键词
Maxwell-Cattaneo system; heat conduction; continuous dependence on geometry;

机译：麦克斯韦-卡特尼系统;热传导;对几何的连续依赖;

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1. Continuous dependence of heat flux on spatial geometry for the generalized Maxwell-Cattaneo system [J] . Changhao Lin, L. E. Payne ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2004,第4期

机译：广义Maxwell-Cattaneo系统的热通量对空间几何形状的连续依赖性
2. CONTINUOUS DEPENDENCE ON INITIAL-TIME AND SPATIAL GEOMETRY IN GENERALIZED HEAT CONDUCTION [J] . Payne LE., Song JC. Journal of Mathematical Analysis and Applications . 1997,第1期

机译：广义传热中初始时间和空间几何的连续依赖
3. Quantify the continuous dependence of SST-turbulent heat flux relationship on spatial scales [J] . Li Furong, Sang Huiyan, Jing Zhao Geophysical Research Letters . 2017,第12期

机译：量化SST湍流热通量关系在空间尺度上的连续依赖性
4. An inverse geometry problem in determining the interfacial surfaces of a three layers structure based on the desired system heat flux [C] . Huang Cheng-Hung, Wuchiu Cheng-Tso, Chen Hsi-Mei 2011 IEEE 3rd International Conference on Communication Software and Networks . 2011

机译：根据所需的系统热通量确定三层结构的界面时的几何逆问题
5. Heater geometry and heat flux effects on subcooled, thin wire, nucleate pool boiling in microgravity [D] . Munro, Troy 2012

机译：加热器的几何形状和热通量对过冷的细丝核池在微重力下沸腾的影响
6. Estimating spatially distributed turbulent heat fluxes from high-resolution thermal imagery acquired with a UAV system [O] . Claire Brenner, Christina Elisabeth Thiem, Hans-Dieter Wizemann, -1

机译：通过无人机系统获取的高分辨率热像估算空间分布的湍流通量
7. Continuous Dependence on Initial-Time and Spatial Geometry in Generalized Heat Conduction [O] . Payne L.E., Song J.C. 1997

机译：广义导热中对初始时间和空间几何的连续依赖

Continuous dependence of heat flux on spatial geometry for the generalized Maxwell-Cattaneo system

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