In mathematics, the Euler–Poisson–Darboux(EPD) equation is the partial differential equation u x , y + N ( u x + u y ) x + y = 0. {\displaystyle u_{x,y}+{\frac...

theorem Darboux's formula Christoffel–Darboux identity Christoffel–Darboux formula Euler–Darboux equation Darboux–Froda's theorem Euler–Poisson–Darboux equation...

conservation equations. Euler–Tricomi equation – a second-order PDE emerging from Euler conservation equations. Euler–Poisson–Darboux equation, a second-order...

wave equation Eikonal equation in wave propagation Euler–Poisson–Darboux equation in wave theory Helmholtz equation Chua's circuit Liénard equation to model...

mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which...

{\boldsymbol {q}})} ⁠, the ( n {\displaystyle n} -dimensional) Euler–Lagrange equation ∂ L ∂ q − d d t ∂ L ∂ q ˙ = 0 {\displaystyle {\frac {\partial {\mathcal...

Klein–Gordon equation in physics: φ t t − φ x x + φ = 0. {\displaystyle \varphi _{tt}-\varphi _{xx}+\varphi =0.} The sine-Gordon equation is the Euler–Lagrange...

Schrödinger–Poisson equation Vlasov–Poisson equation Hamiltonian mechanics Poisson bracket Electrostatics Poisson equation Euler–Poisson–Darboux equation Poisson–Boltzmann...

Liouville, Jacobi, Darboux, Poincaré, Kolmogorov, Prigogine and Arnold, have extended Hamilton's work, in mechanics, differential equations and symplectic...

Pafnuty Chebyshev: Chebyshev polynomials Elwin Bruno Christoffel, Darboux: Christoffel–Darboux relation Cyclotomic polynomials H. G. Dawson: Dawson function...

jqsrt.2003.10.001. "Euler-Darboux Equation". MathWorld. Retrieved 2009-11-14. Maslov, V. P. (1983). "The Kolmogorov-Feller equation and the probabilistic...

"d'Alembert's Equation". mathworld.wolfram.com. Retrieved 2024-06-02. "Darboux equation - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2024-06-02...

by Leonhard Euler, Jean le Rond d'Alembert, and Daniel Bernoulli. Fourier introduced the series for the purpose of solving the heat equation in a metal...

1955. Her dissertation, On a regular Cauchy problem for the Euler-Poisson-Darboux equation, was supervised by Alexander Weinstein. After completing her...

local coordinates on configuration space induces a choice of natural local Darboux coordinates for the standard symplectic structure on a cotangent space...

"A solution of the singular initial value problem for the Euler-Poisson-Darboux equation". Proc. Amer. Math. Soc. 4 (5): 703–715. doi:10.1090/s0002-9939-1953-0058099-1...

geometry) Classification of symmetric spaces (Lie theory) Darboux's theorem (symplectic topology) Euler's theorem (differential geometry) Four-vertex theorem...

m} , results in the initial value problem for the hyperbolic Euler–Poisson–Darboux equation ( ∂ τ 2 − ∂ r 2 + n ( n + 1 ) r 2 ) ψ n m ( τ , r ) = f n m...

Thereby, inhomogeneous electromagnetic wave equations are transformed into a Poisson equation. Eventually, George Frederick Charles Searle noted...

even-dimensional we can take local coordinates (p1,...,pn, q1,...,qn), and by Darboux's theorem the symplectic form ω can be, at least locally, written as ω =...