This is a list of equations, by Wikipedia page under appropriate bands of their field.

Eponymous equations

The following equations are named after researchers who discovered them.

Mathematics

  • Cauchy–Riemann equations
  • Chapman–Kolmogorov equation
  • Maurer–Cartan equation
  • Pell's equation
  • Poisson's equation
  • Riccati equation
  • sine-Gordon equation
  • Verhulst equation

Physics

  • Ampère's circuital law
  • Bernoulli's equation
  • Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy of equations
  • Bessel's differential equation
  • Boltzmann equation
  • Borda–Carnot equation
  • Burgers' equation
  • Darcy–Weisbach equation
  • Dirac equation
  • Dirac equation in the algebra of physical space
  • Dirac–Kähler equation
  • Doppler equations
  • Drake equation (aka Green Bank equation)
  • Einstein's field equations
  • Euler equations (fluid dynamics)
  • Euler's equations (rigid body dynamics)
  • Relativistic Euler equations
  • Euler–Lagrange equation
  • Faraday's law of induction
  • Fokker–Planck equation
  • Fresnel equations
  • Friedmann equations
  • Gauss's law for electricity
  • Gauss's law for gravity
  • Gauss's law for magnetism
  • Gibbs–Helmholtz equation
  • Gross–Pitaevskii equation
  • Hamilton–Jacobi–Bellman equation
  • Helmholtz equation
  • Karplus equation
  • Kepler's equation
  • Kepler's laws of planetary motion
  • Kirchhoff's diffraction formula
  • Klein–Gordon equation
  • Korteweg–de Vries equation
  • Landau–Lifshitz–Gilbert equation
  • Lane–Emden equation
  • Langevin equation
  • Levy–Mises equations
  • Lindblad equation
  • Lorentz equation
  • Maxwell's equations
  • Maxwell's relations
  • Newton's laws of motion
  • Navier–Stokes equations
  • Reynolds-averaged Navier–Stokes equations
  • Prandtl–Reuss equations
  • Prony equation
  • Rankine–Hugoniot equation
  • Roothaan equations
  • Saha ionization equation
  • Sackur–Tetrode equation
  • Samik Hazra equation
  • Schrödinger equation
  • screened Poisson equation
  • Schwinger–Dyson equation
  • Sellmeier equation
  • Stokes–Einstein relation
  • Tsiolkovsky rocket equation
  • Van der Waals equation
  • Vlasov equation
  • Wiener equation

Chemistry

  • Arrhenius equation
  • Butler–Volmer equation
  • Eyring equation
  • Henderson–Hasselbalch equation
  • Michaelis–Menten equation
  • Nernst equation
  • Schrödinger equation
  • Urey–Bigeleisen–Mayer equation

Biology

  • Breeder's equation
  • Hardy–Weinberg principle
  • Hill equation
  • Lotka–Volterra equation
  • Michaelis–Menten equation
  • Poiseuille equation
  • Price equation

Economics

  • Black–Scholes equation
  • Fisher equation

Other equations

Mathematics

  • Polynomial equation
  • Linear equation
  • Quadratic equation
  • Cubic equation
  • Biquadratic equation
  • Quartic equation
  • Quintic equation
  • Sextic equation
  • Characteristic equation
  • Class equation
  • Comparametric equation
  • Difference equation
  • Matrix difference equation
  • Differential equation
  • Matrix differential equation
  • Ordinary differential equation
  • Partial differential equation
  • Total differential equation
  • Diophantine equation
  • Equation
  • Modular equation
  • Parametric equation
  • Replicator equation

Physics

  • Advection equation
  • Barotropic vorticity equation
  • Continuity equation
  • Diffusion equation
  • Drag equation
  • Equations of motion
  • Equation of state
  • Equation of time
  • Heat equation
  • Ideal gas equation
  • Ideal MHD equations
  • Mass–energy equivalence equation
  • Primitive equations
  • Relativistic wave equations
  • Vis-viva equation
  • Vorticity equation
  • Wave equation

Chemistry

  • Chemical equation (aka molecular equation)
  • Thermochemical equation

Telecommunications engineering

  • Password length equation
  • Telegrapher's equations
  • Functional equation
  • Functional equation (L-function)

Lists of equations

  • Constitutive equation
  • Laws of science
  • Defining equation (physical chemistry)
  • List of equations in classical mechanics
  • Table of thermodynamic equations
  • List of equations in wave theory
  • List of electromagnetism equations
  • List of relativistic equations
  • List of equations in fluid mechanics
  • List of equations in gravitation
  • List of photonics equations
  • List of equations in quantum mechanics
  • List of equations in nuclear and particle physics

See also

  • Variables commonly used in physics
  • Equation solving
  • Theory of equations