mathematics, the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the elliptic partial differential equation: ∇ 2 f =...

The Gibbs–Helmholtz equation is a thermodynamic equation used to calculate changes in the Gibbs free energy of a system as a function of temperature. It...

Hermann Ludwig Ferdinand von Helmholtz ForMemRS (/ˈhɛlmhoʊlts/; German: [ˈhɛʁ.man vɔn ˈhɛlmˌhɔlts]; 31 August 1821 – 8 September 1894) was a German physicist...

t}} , if one uses Maxwell's Equations to eliminate B, the electromagnetic wave equation reduces to the Helmholtz equation for E: ( ∇ 2 + k 2 ) E = 0 ...

differential equations. Laplace's equation is also a special case of the Helmholtz equation. The general theory of solutions to Laplace's equation is known...

Accelerated aging Eyring equation Q10 (temperature coefficient) Van 't Hoff equation Clausius–Clapeyron relation Gibbs–Helmholtz equation Cherry blossom front –...

(\mathbf {r} )e^{i\omega t}} , solving the following equation, known as the Helmholtz equation, is mostly concerned as treating a complex-valued function...

temperature, or internal energy. Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are useful in describing the...

to define fundamental equations of state of pure substances. The concept of free energy was developed by Hermann von Helmholtz, a German physicist, and...

Acoustic wave equation Bateman transform Electromagnetic wave equation Helmholtz equation Inhomogeneous electromagnetic wave equation Laplace operator...

differential equations with boundary and initial conditions, such as the heat equation, wave equation, Laplace equation, Helmholtz equation and biharmonic...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

Poisson equation Poisson–Boltzmann equation Helmholtz equation Uniqueness theorem for Poisson's equation Weak formulation Harmonic function Heat equation Potential...

from theory of differential equations and scattering theory used for choosing a particular solution to the Helmholtz equation. It was introduced by Arnold...

is RT-stable), the dynamics of the Kelvin-Helmholtz instability is described by the Taylor–Goldstein equation: ( U − c ) 2 ( d 2 ϕ ~ d z 2 − k 2 ϕ ~ )...

dependence of the Gibbs energy for an ideal gas is given by the Gibbs–Helmholtz equation, and its pressure dependence is given by G N = G ∘ N + k T ln ⁡ p...

Laplace equation in 3 dimensions, and 2) the Helmholtz equation in either 2 or 3 dimensions. Since the Helmholtz equation is a prototypical equation for modeling...

Helmholtz equation in spherical coordinates. Bessel's equation arises when finding separable solutions to Laplace's equation and the Helmholtz equation in cylindrical...

below. 11573 Helmholtz Kelvin–Helmholtz mechanism Helmholtz (lunar crater) Gibbs–Helmholtz equation Helmholtz coil Helmholtz condition Helmholtz decomposition...

Clausius–Clapeyron relation Van 't Hoff factor (i) Gibbs–Helmholtz equation Solubility equilibrium Arrhenius equation Biography on Nobel prize website. Nobelprize...

Departure functions Duhem–Margules equation Ehrenfest equations Gibbs–Helmholtz equation Phase rule Kopp's law Noro–Frenkel law of corresponding states Onsager...

Fundamentally, the Gaussian is a solution of the axial Helmholtz equation, the wave equation for an electromagnetic field. Although there exist other...

from the Helmholtz theorem (also known as the fundamental theorem of vector calculus). The first equation is a pressureless governing equation for the...

Acoustic wave equation Burgers' equation Continuity equation Heat equation Helmholtz equation Klein–Gordon equation Jacobi equation Lagrange equation Laplace's...

{1}{2}}\sum _{i}z_{i}^{2}n_{i}^{0}.} So, the fundamental equation is reduced to a form of the Helmholtz equation: ∇ 2 φ = κ 2 φ . {\displaystyle \nabla ^{2}\varphi...

dx_{2}\right)_{x_{1}=0}} Margules activity model Darken's equations Gibbs–Helmholtz equation A to Z of Thermodynamics Pierre Perrot ISBN 0-19-856556-9...

\mathbf {B} =\mu _{0}\mathbf {j} } , then it can be turned into the Helmholtz equation for magnetic field: ∇ 2 B = 1 λ s 2 B {\displaystyle \nabla ^{2}\mathbf...

cutoff frequency.: 38  Propagation modes are computed by solving the Helmholtz equation alongside a set of boundary conditions depending on the geometrical...

published his paper on some hydrodynamic basic equations in 1858, which was part of his research on the Helmholtz's theorems describing the motion of fluid in...

characteristic equation of the Helmholtz equation for electromagnetic waves, which is derived from the electromagnetic wave equation by setting the longitudinal...