V2EX poisson-equation

Poisson Equation

释义 Definition

泊松方程:一种重要的二阶椭圆型偏微分方程,常写作 φ = f,用于描述在给定“源项”(如电荷密度、质量密度、热源等)作用下的势函数/场的分布。它是拉普拉斯方程(φ = 0)的有源版本。

发音 Pronunciation (IPA)

/pwsn kwen/(也常听到 /pwsn kwen/)

例句 Examples

The Poisson equation relates charge density to electric potential.
泊松方程把电荷密度与电势联系起来。

By solving the Poisson equation with appropriate boundary conditions, we can compute the gravitational potential inside an inhomogeneous sphere.
通过在合适的边界条件下求解泊松方程,我们可以计算非均匀球体内部的引力势。

词源 Etymology

“Poisson equation” 得名于法国数学家与物理学家 西蒙德尼泊松(Siméon Denis Poisson)。该方程在数学物理中广泛出现,尤其用于刻画“源项驱动的势场问题”(例如电势、引力势、稳态温度场等)。

相关词 Related Words

文学与经典著作 Literary Works

  • Classical Electrodynamics J. D. Jackson(经典电动力学教材中用泊松方程处理静电势与边值问题)
  • Introduction to Electrodynamics David J. Griffiths(用泊松方程讲解静电学与电势求解)
  • Mathematical Methods for Physicists Arfken, Weber & Harris(以泊松方程为例介绍格林函数与分离变量等方法)
  • Partial Differential Equations Lawrence C. Evans(作为典型椭圆型方程讨论弱解与正则性等主题)
  • Methods of Mathematical Physics Courant & Hilbert(数学物理方程体系中反复出现的核心方程之一)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1004 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 8ms UTC 17:11 PVG 01:11 LAX 09:11 JFK 12:11
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86