SOME TRANSFORMATION CONCEPTS ON MATHEMATICAL SCIENCES

In this paper, following[1], weintroduced certain concrete work of some transformation concepts in the branches of mathematical sciences. §1 1. By the end of [2], the concepts of the functionalization of the classical analysis were introduced to make it convenient on the application of the classical analysis in modern physics, esp.in quantum field theory.     

POROUS MEDIUM MAGNETOHYDRODYИAMICS

here we established the mathematical model of dynamics of porous solid medium saturated with compressible magneto-fluid, directly coupled the stress, flow and electromagnetic fields, studied their interactions and propagation regularity of waves and proved that there exist various P and S waves and also their mixture, which, generally,Possess damping and freguency scattering effects.     

具有薄层奇性的混合边值问题

§1 引言 Lions建立的在变分形式中的渐近展开方法是对自Poincaré以来的古典奇摄动理论的新发展。这个方法多应用于齐次第一边值问题中,冯康建立的把混合边界条件化为变分问题的方法,使变分理论能够处理更加广泛的     

各向异性能带理论

从金属中自由电子的量子统计理论到半导体能带理论的发展,打开了正确认识半导体特性的大门。但是,很长一段时间内曾经停留在单一极值,统一有效质量的各向同性理论,阻碍了对半导体特性的深入理解。近年来,大量实验结果表明,半导体材料的性质,实际上比各向同性模型所刻划的要复     

固体力学中的变分方法

互补交分原理最早见诸Rayleigh([1],1899)对声学的研究和Trefftz([2],1928)对结构力学的研究,以后由于应用广泛而发展迅速。它们的抽象模型可以统为一个重要的极大极小定理,Von Neumann([3],1928)定理。     

固体力学的不等式问题

本文全面讨论了固体力学中的不等式问题,内容包括变分原理与变分不等式中平稳型的和发展型的,确定性的和随机性的一些问题的主要概念、方法和结果.     

统计弹性理论

简单地说,岩体力学是研究岩体中必然的或确定的力学现象的内在规律性的;统计岩体力学则是研究岩体中偶然的或随机的力学现象的统计规律性的。 恩格斯说过:地质学按其性质来说主要是研究那些不但我们没有经历过而且任何人都没有经历过的过程。所以要挖掘出最后的、终极的真理就要费     

SOME TRANSFORMATION CONCEPTS ON MATHEMATICAL SCIENCES

In this paper,following[1],we introduced certain concrete workof some transformation concepts in the branches of mathematicalsciences.§11.By the end of [2],the concepts of the functionalization ofthe classical analysis were introduced to make it convenient on theapplication of the classical analysis in modern physics,esp.in quan-tum field theory.