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By V. A. Galaktionov 《Studies in Applied Mathematics》2010,124(1):39-63
The large-time behavior of weak nonnegative and sign changing solutions of the fourth-order thin film equation (TFE-4) with absorption where n ∈ (0, 3) and the absorption exponent p belongs to the subcritical range is studied. First, the standard free-boundary problem with zero-height, zero contact angle, and zero-flux conditions at the interface and bounded compactly supported initial data is considered. Very singular similarity solutions (VSSs) have the form Here f solves the quasi-linear degenerate elliptic equation that becomes an ODE for N = 1 or in the radial setting in . By a combination of analytical, asymptotic, and numerical methods, existence of various branches of similarity profiles f parameterized by p is established. Secondly, changing sign VSSs of the Cauchy problem are described.
This study is motivated by the detailed VSS results for the second-order porous medium equation with absorption ( u ≥ 0) which have been known since the 1980s. 相似文献
This study is motivated by the detailed VSS results for the second-order porous medium equation with absorption ( u ≥ 0) which have been known since the 1980s. 相似文献
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Recent literature, including many standard text and reference books, implies directly or indirectly that electro-osmosis (a phenomenon of significance in both the life and physical sciences) cannot take place in non-ionic solutions under applied uniform electric fields, but a molecular dynamic method shows that it does take place in such systems. 相似文献
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The technique of second-order difference neutron scattering with hydrogen/deuterium isotopic substitution has been used to measure the intermolecular structural correlations in pure liquid tertiary butanol. The newly developed technique of empirical potential structure refinement has been used to perform a detailed structural analysis of the resulting partial distribution functions, providing a means by which a full set of interatomic partial distribution functions consistent with the experimental data can be extracted. A comparison with our experimental results is made for a Monte Carlo model produced using fixed potentials as in earlier simulations of this alcohol system, and for the model which results from our procedure. The results suggest that the extent of intermolecular hydrogen bonding, although significant, is less dominant than generally accepted. 相似文献
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剖析了各种压阻式力敏硅传感器的结构,介绍了其工作原理和测试方法并,对力敏硅传感器结构的优劣作出分析,为合理地选择、应用力敏硅传感器提供了依据。 相似文献
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面向二十一工嵌入式系统综述 总被引:11,自引:0,他引:11
本文根据应用领域,对计算机分类提出了嵌入式计算机和通用计算机的新定义,总结了嵌入式系统工业及其开发的特点,概括了嵌入式处理器的发展及现状。实时多任务操作系统(RTOS)已成为嵌入式系统的热点,本文对RTOS及其与嵌入式开发的关系进行了详细讨论,提出了当前中国嵌入式系统应用行业面临的困惑和挑战以及建立嵌入式应用产业化的设想。 相似文献
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