- laplacian equation
- 拉普拉斯方程
English-Chinese dictionary of mechanical engineering (英汉机械工程大词典). 2013.
laplacian equation
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Laplacian vector field — In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is described by the following differential equations:: abla imes mathbf{v} = 0, : abla cdot… … Wikipedia
laplacian — ləˈpläsēən, las ; lāshən noun or laplacian operator ( s) Usage: usually capitalized L Etymology: Pierre Simon de Laplace died 1827 + English ian : the … Useful english dictionary
Vector Laplacian — In mathematics and physics, the vector Laplace operator, denoted by scriptstyle abla^2, named after Pierre Simon Laplace, is a differential operator defined over a vector field. The vector Laplacian is similar to the scalar Laplacian. Whereas the … Wikipedia
Dirichlet Laplacian — refers to the mathematical problems with the Helmholtz equation (Delta + lambda) Psi =0 where Delta is the Laplace operator; in the two dimensional space, Delta=frac{partial^2}{partial x^2}+frac{partial^2}{partial y^2}differentiates with respect… … Wikipedia
Omega equation — The omega equation is of great importance in meteorology and atmospheric physics. It is a partial differential equation for the vertical velocity, ω, which is defined as a Lagrangian rate of change of pressure with time, that is, . The equation… … Wikipedia
Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… … Wikipedia
Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… … Wikipedia
Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… … Wikipedia
Helmholtz equation — The Helmholtz equation, named for Hermann von Helmholtz, is the elliptic partial differential equation:( abla^2 + k^2) A = 0where abla^2 is the Laplacian, k is a constant, and the unknown function A=A(x, y, z) is defined on n dimensional… … Wikipedia
Groundwater flow equation — Used in hydrogeology, the groundwater flow equation is the mathematical relationship which is used to describe the flow of groundwater through an aquifer. The transient flow of groundwater is described by a form of the diffusion equation, similar … Wikipedia
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.… … Universalium
