variational equation

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• Variational inequality — is a mathematical theory intended for the study of equilibrium problems. Guido Stampacchia put forth the theory in 1964 to study partial differential equations. The applicability of the theory has since been expanded to include problems from… …   Wikipedia

• Variational methods in general relativity — refers to various mathematical techniques that employ the use of variational calculus in Einstein s theory of general relativity. The most commonly used tools are Lagrangians and Hamiltonians and are used to derive the Einstein field… …   Wikipedia

• Variational principle — A variational principle is a principle in physics which is expressed in terms of the calculus of variations. According to Cornelius Lanczos, any physical law which can be expressed as a variational principle describes an expression which is self… …   Wikipedia

• Hunter–Saxton equation — In mathematical physics, the Hunter–Saxton equationHunter Saxton 1991] :(u t + u u x) x = frac{1}{2} , u x^2is an integrable PDE that arises in the theoretical study of nematic liquid crystals. If the molecules in the liquid crystal are initially …   Wikipedia

• Mild-slope equation — Simulation of wave penetration involving diffraction and refraction into Tedious Creek, Maryland, using CGWAVE (which solves the mild slope equation). In fluid dynamics, the mild slope equation describes the combined effects of diffraction and… …   Wikipedia

• Luke's variational principle — In fluid dynamics, Luke s variational principle is a Lagrangian variational description of the motion of surface waves on a fluid with a free surface, under the action of gravity. This principle is named after J.C. Luke, who published it in 1967 …   Wikipedia

• Gross–Pitaevskii equation — The Gross–Pitaevskii equation is a nonlinear model equation for the order parameter or wavefunction of a Bose–Einstein condensate. It is similar in form to the Ginzburg–Landau equation and is sometimes referred to as a nonlinear Schrödinger… …   Wikipedia

• Differential variational inequality — In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems. DVIs are useful for representing models involving both… …   Wikipedia

• Euler–Lagrange equation — In calculus of variations, the Euler–Lagrange equation, or Lagrange s equation is a differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss mathematician Leonhard Euler and… …   Wikipedia

• Schrödinger equation — For a more general introduction to the topic, please see Introduction to quantum mechanics. Quantum mechanics …   Wikipedia

• Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …   Wikipedia