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- Laplace's_equation abstract "In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties. This is often written as: where ∆ = ∇2 is the Laplace operator and φ is a scalar function. In general, ∆ = ∇2 is the Laplace–Beltrami or Laplace–de Rham operator.Laplace's equation and Poisson's equation are the simplest examples of elliptic partial differential equations. The general theory of solutions to Laplace's equation is known as potential theory. The solutions of Laplace's equation are the harmonic functions, which are important in many fields of science, notably the fields of electromagnetism, astronomy, and fluid dynamics, because they can be used to accurately describe the behavior of electric, gravitational, and fluid potentials. In the study of heat conduction, the Laplace equation is the steady-state heat equation.".
- Laplace's_equation thumbnail Laplace's_equation_on_an_annulus.jpg?width=300.
- Laplace's_equation wikiPageExternalLink lpde301.pdf.
- Laplace's_equation wikiPageExternalLink DirichletProblemMod.html.
- Laplace's_equation wikiPageExternalLink PDE:Laplaces_Equation.
- Laplace's_equation wikiPageExternalLink bemsite.htm.
- Laplace's_equation wikiPageID "36941".
- Laplace's_equation wikiPageRevisionID "604415307".
- Laplace's_equation hasPhotoCollection Laplace's_equation.
- Laplace's_equation id "p/l057470".
- Laplace's_equation title "Laplace equation".
- Laplace's_equation title "Laplace’s Equation".
- Laplace's_equation urlname "LaplacesEquation".
- Laplace's_equation subject Category:Elliptic_partial_differential_equations.
- Laplace's_equation subject Category:Equations.
- Laplace's_equation subject Category:Fourier_analysis.
- Laplace's_equation subject Category:Harmonic_functions.
- Laplace's_equation type Abstraction100002137.
- Laplace's_equation type Communication100033020.
- Laplace's_equation type DifferentialEquation106670521.
- Laplace's_equation type EllipticPartialDifferentialEquations.
- Laplace's_equation type Equation106669864.
- Laplace's_equation type Equations.
- Laplace's_equation type Function113783816.
- Laplace's_equation type HarmonicFunctions.
- Laplace's_equation type MathematicalRelation113783581.
- Laplace's_equation type MathematicalStatement106732169.
- Laplace's_equation type Message106598915.
- Laplace's_equation type PartialDifferentialEquation106670866.
- Laplace's_equation type Relation100031921.
- Laplace's_equation type Statement106722453.
- Laplace's_equation comment "In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties. This is often written as: where ∆ = ∇2 is the Laplace operator and φ is a scalar function. In general, ∆ = ∇2 is the Laplace–Beltrami or Laplace–de Rham operator.Laplace's equation and Poisson's equation are the simplest examples of elliptic partial differential equations.".
- Laplace's_equation label "Ecuación de Laplace".
- Laplace's_equation label "Equazione di Laplace".
- Laplace's_equation label "Equação de Laplace".
- Laplace's_equation label "Laplace's equation".
- Laplace's_equation label "Laplace-Gleichung".
- Laplace's_equation label "Laplace-vergelijking".
- Laplace's_equation label "Równanie różniczkowe Laplace’a".
- Laplace's_equation label "Équation de Laplace".
- Laplace's_equation label "Уравнение Лапласа".
- Laplace's_equation label "معادلة لابلاس".
- Laplace's_equation label "ラプラス方程式".
- Laplace's_equation label "拉普拉斯方程".
- Laplace's_equation sameAs Laplace-Gleichung.
- Laplace's_equation sameAs Εξίσωση_Λαπλάς.
- Laplace's_equation sameAs Ecuación_de_Laplace.
- Laplace's_equation sameAs Équation_de_Laplace.
- Laplace's_equation sameAs Equazione_di_Laplace.
- Laplace's_equation sameAs ラプラス方程式.
- Laplace's_equation sameAs 라플라스_방정식.
- Laplace's_equation sameAs Laplace-vergelijking.
- Laplace's_equation sameAs Równanie_różniczkowe_Laplace’a.
- Laplace's_equation sameAs Equação_de_Laplace.
- Laplace's_equation sameAs m.096x_.
- Laplace's_equation sameAs Q339444.
- Laplace's_equation sameAs Q339444.
- Laplace's_equation sameAs Laplace's_equation.
- Laplace's_equation wasDerivedFrom Laplace's_equation?oldid=604415307.
- Laplace's_equation depiction Laplace's_equation_on_an_annulus.jpg.
- Laplace's_equation isPrimaryTopicOf Laplace's_equation.