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关于某些非线性偏微分方程的准确解 被引量:3
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作者 施惟慧 陈达段 唐一鸣 《应用数学和力学》 CSCD 北大核心 1997年第3期239-245,共7页
以分层理论为基础,对偏微分方程给以一种全新的分类.
关键词 好方程组 偏微分方程 准确解 非线性
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ON THE EXACT SOLUTIQN TO CERTAIN NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS
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作者 施惟慧 陈达段 唐一鸣 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第3期259-265,共7页
This paper, based on the theory of stratifications. gives a brand-new classification of partial differential equations.
关键词 janet number bad system of equations good system of equations
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Stability of Navier-Stokes Equation(Ⅱ)
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作者 施惟慧 方晓佐 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第10期929-933,共5页
In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and aut... In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and authority on partial differential equation, starting from heatconduction equation, obtained some results of properly posed of certain initialboundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility ofcomparing these two classes of equations. This paper attempts to describe and provethe .fundamental difference between these two. 展开更多
关键词 solution space janet number. Nayler-Stokes equation
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Stability of Navier-Stokes Equation(Ⅰ)
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作者 施惟慧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第9期865-866,共2页
In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and aut... In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and authority on partial differential equation, starting from heatconduction equation, obtained some results of properly posed of certain initialboundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility ofcomparing these two classes of equations. This paper attempts to describe and provethe .fundamental difference between these two. 展开更多
关键词 solution space janet number. Nayler-Stokes equation
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一类定常对流运动方程组不稳定性
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作者 唐一鸣 《应用数学与计算数学学报》 1996年第2期63-66,共4页
本文证明了粘性不可压缩流体定常对流运动完备方程组是一个不稳定方程组,并给出了不唯一性的例证.
关键词 不稳定性 不可压缩流体 定常对流运动 粘性流
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