partial differential equation
81Pseudo-differential operator — In mathematical analysis a pseudo differential operator is an extension of the concept of differential operator. Pseudo differential operators are used extensively in the theory of partial differential equations and quantum field theory.… …
82elliptic equation — ▪ mathematics any of a class of partial differential equations (partial differential equation) describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations …
83Dispersionless equation — Dispersionless (or quasi classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and are intensively studied in the recent literature (see, f.i., [1] [5]). Contents 1 Examples 1.1… …
84Hamilton-Jacobi-Bellman equation — The Hamilton Jacobi Bellman (HJB) equation is a partial differential equation which is central to optimal control theory.The solution of the HJB equation is the value function , which gives the optimal cost to go for a given dynamical system with …
85Richards equation — The Richards equation represents the movement of water in unsaturated soils, and was formulated by Lorenzo A. Richards in 1931. It is a non linear partial differential equation, which is often difficult to approximate since it does not have a… …
86Hasegawa-Mima equation — The Hasegawa Mima equation, named after Akira Hasegawa and Kunioki Mima, is an equation that describes a certain regime of plasma, where the time scales are very fast, and the distance scale in the direction of the magnetic field is long. In… …
87Laplace'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.… …
88Clairaut's equation — In mathematics, a Clairaut s equation is a differential equation of the form To solve such an equation, we differentiate with respect to x, yielding so Hence, either …
89Nonlinear Schrödinger equation — This page is about the equation iψt = −½ψxx + κ|ψ|2ψ. For the equation iψt = −½ψxx + V(x)ψ + κ|ψ|2ψ, used in Bose–Einstein condensate theory, see Gross–Pitaevskii equation. In theoretical physics, the nonlinear Schrödinger equation (NLS) is a… …
90Eikonal equation — The eikonal equation is a non linear partial differential equation of the form: | abla u(x)|=F(x), xin Omega subject to u| {partial Omega}=0, where Omega is an open set in mathbb{R}^n with well behaved boundary, F(x) is a function with positive… …
