Laplace's equation

In mathematics, a partial differential equation whose solutions (harmonic functions) are useful in investigating physical problems in three dimensions involving gravitational, electrical, and magnetic fields, and certain types of fluid motion. Named for Pierre-Simon Laplace, the equation states that the sum of the second partial derivatives (the Laplace operator, or Laplacian) of an unknown function is zero. It can apply to functions of two or three variables, and can be written in terms of a differential operator as ΔF = 0, where Δ is the Laplace operator.

Laplace's equation [lə′pläs·əz i‚kwā·zhən]

(acoustics)

An equation for the speedcof sound in a gas; it may be writtenc= √(γp/ρ), wherepis the pressure, ρ is the density, and γ is the ratio of specific heats.

(mathematics)

The partial differential equation which states that the sum of all the nonmixed second partial derivatives equals 0; the potential functions of many physical systems satisfy this equation.

Mentioned in	?		Encyclopedia browser	?		Full browser	?
No references found			Lapin, Sergei Georgievich LaPine State Park lapis lapis lazuli Lapita culture Lapitskii, Iosif Lapitskii, Iosif Mikhailovich Laplace Laplace Azimuth Laplace Invariant Plane Laplace irrotational motion Laplace law Laplace Nebular Hypothesis Laplace Operator Laplace Point Laplace Theorem Laplace Transform Laplace's Differential Equation Laplace's equation Laplace's expansion Laplace's irrotational motion Laplace's Law Laplace's measure of dispersion Laplace, Pierre Simon, Marquis de Laplace, Pierre-Simon, marquis de Laplaces equation Laplacian Laplacian speed of sound Lapland LapLink LapLink cable LAPM Lapointe, Ernest Laporte selection rule Laporte, Otto Laporte, Roland LaPorte, William Lapouge, Georges Vacher de Lapp Lapparent, Albert-Auguste Lappé, Frances Moore lapped dovetail lapped tenons Lappeenranta lappet Lappi Lapping Lapping Machine Lappo, Ivan Lappo, Ivan Ivanovich Lappo-Danilevskii, Aleksandr			Laplace Nebular Hypothesis Laplace operator Laplace operator Laplace Pierre Simon de Laplace Point Laplace Theorem Laplace transform Laplace transform Laplace Transformation Laplace transformations Laplace transforms Laplace's Coefficients Laplace's differential equation Laplace's differential equation Laplace's equation Laplace's expansion Laplace's irrotational motion Laplace's law Laplace's law Laplace's measure of dispersion Laplace, Pierre Simon, marquis de Laplace, Pierre Simon, marquis de Laplace, Pierre-Simon, marquis de Laplace-Beltrami operator Laplace-Beltrami operator Laplace-Carson Transform Laplace-de Rham operator Laplace-de Rham operator Laplace-Runge-Lenz vector Laplace-Stieltjes transform Laplaces equation Laplacian Laplacian Laplacian Eigenmap Laplacian matrix Laplacian of a Gaussian Laplacian operator Laplacian operator Laplacian plane Laplacian Pyramid Hierarchical Coding Laplacian speed of sound Lapland Lapland Lapland (disambiguation) Lapland (disambiguation) Lapland Lääni Lapland Lääni Lapland Longspur Lapland longspurs Lapland rosebays Laplander Laplander Laplanders Laplanders Laplandish Laplata Town Tax Laplata Youth Soccer Association Lapling Laplink LapLink cable LAPM

Laplace's equation (redirected from Laplaces equation)

Laplace's equation

Laplace's equation
(redirected from Laplaces equation)