| Equation |
Field |
Person(s) named after |
| Archard equation |
Materials science |
Archard |
| Arrhenius equation |
Chemical kinetics |
Svante Arrhenius |
| Aryabhata equation |
Algebra |
Aryabhata |
| Avrami equation |
Phase transformation |
Melvin Avrami |
| Bellman equation |
Control theory |
Richard Bellman |
| Benedict-Webb-Rubin equation |
Fluid dynamics |
M. Benedict, G. B. Webb, and L. C. Rubin |
| Bernoulli equation |
Fluid dynamics |
Daniel Bernoulli |
| Bernoulli differential equation |
Calculus |
Jacob Bernoulli |
| Bessel differential equation |
Special functions |
Friedrich Bessel |
| Birch–Murnaghan equation of state |
Continuum mechanics |
Francis Birch and Francis Murnaghan |
| Black's equation |
Electronics |
James R. Black |
| Black-Scholes equation |
Mathematical finance |
Fischer Black and Myron Scholes |
| Blaney-Criddle equation |
Agronomy |
Blaney and Criddle |
| Boltzmann equation |
Thermodynamics |
Ludwig Boltzmann |
| Boussinesq equations |
Wave mechanics |
Joseph Boussinesq |
| Breit equation |
Quantum mechanics |
Gregory Breit |
Bridgman's equation
Bridgman's thermodynamic equations |
Dimensional analysis
Thermodynamics |
Percy Williams Bridgman
Percy Williams Bridgman |
| Broer–Kaup–Kupershmidt equation |
Wave mechanics |
Lambertus Broer, D. J. Kaup, and B. A. Kupershmidt |
| Buckley–Leverett equation |
Two-phase flow in porous media |
S. E. Buckley and M. C. Leverett |
| Burgers' equation |
Fluid dynamics |
Johannes Martinus Burgers |
| Cahn-Hilliard equation |
Phase separation |
John W. Cahn and John E. Hilliard |
| Callan-Symanzik equation |
Quantum field theory |
Curtis Callan and Kurt Symanzik |
| Callendar-Van Dusen equation |
Thermodynamics |
Hugh Longbourne Callendar and M. S. Van Dusen |
| Carothers equation |
Polymer chemistry |
Wallace Carothers |
Cauchy's equation
Cauchy's functional equation
Cauchy's integral formula
Cauchy-Euler equation
Cauchy-Riemann Equations |
Optics
Functional theory
Complex Analysis
Calculus
Complex Analysis |
Augustin Louis Cauchy
Augustin Louis Cauchy
Augustin Louis Cauchy
Augustin Louis Cauchy and Leonhard Euler
Augustin Louis Cauchy and Bernhard Riemann |
| Cesàro equation |
Differential geometry |
Ernesto Cesàro |
| Chaplygin's equation |
Transonic flow |
Sergey Chaplygin |
| Chapman-Kolmogorov equation |
Probability theory |
Sydney Chapman and Andrey Kolmogorov |
| Chebyshev equation |
Calculus |
Pafnuty Chebyshev |
| Clairaut's equation |
Calculus |
Alexis Clairaut |
| Clausius-Clapeyron equation |
Calculus |
Rudolf Clausius and Émile Clapeyron |
| Clausius-Mossotti equation |
Physics |
Rudolf Clausius and Ottaviano-Fabrizio Mossotti |
Colebrook equation
Colebrook-White equation |
Fluid dynamics
Fluid dynamics |
C. F. Colebrook
C. F. Colebrook and F. M. White |
| Competitive Lotka-Volterra equations |
Population dynamics |
Alfred J. Lotka and Vito Volterra |
| Conformal Killing equation |
Topology, Differential geometry |
Wilhelm Killing |
| Darcy-Weisbach equation |
Mathematical physics |
Henry Darcy and Julius Weisbach |
| Debye-Hückel equation |
Electrochemistry |
Peter Debye and Erich Hückel |
| Degasperis-Procesi equation |
Mathematical physics |
Antonio Degasperis and M. Procesi |
| Dehn-Sommerville equations |
Geometry |
Max Dehn and Duncan Sommerville |
| Diophantine equation |
Mathematics |
Diophantus of Alexandria |
Dirac equation
Dirac equation in APS |
Quantum mechanics
Quantum field theory |
Paul Dirac
Paul Dirac |
| Doppler equations |
Wave mechanics |
Christian Doppler |
| Drake equation |
Cosmology |
Frank Drake |
| Duffing equation |
Differential equations |
Duffing |
| Dym equation |
Wave mechanics |
Harry Dym |
| Einstein field equations |
General relativity |
Albert Einstein |
Euler equations
Euler's equations
Euler-Bernoulli beam equation
Euler-Lagrange equation
Euler-Poisson-Darboux equation
Euler-Tricomi equation |
Fluid dynamics
Rigid body dynamics
Solid mechanics
Calculus of variations
Calculus
Calculus |
Leonhard Euler
Leonhard Euler
Leonhard Euler and Daniel Bernoulli
Leonhard Euler and Joseph Louis Lagrange
Euler, Poisson, and Jean Darboux
Leonhard Euler and Francesco Tricomi |
| Eyring-Polanyi equation |
Chemical kinetics |
Henry Eyring and Michael Polanyi |
| Faddeev equations |
Quantum mechanics |
Ludvig Faddeev |
| Falkner-Skan equation |
Boundary layer flow |
V. M. Falkner and S. W. Skan |
| Falkowich-Kármán equation |
Transonic flow |
Falkowich and Theodore von Kármán |
| Fenske equation |
Distillation |
Merrell Fenske |
| Fisher equation |
Financial mathematics |
Fisher |
| Fisher's equation |
Mathematics |
Ronald Fisher |
| Fokker–Planck equation |
Probability theory |
Adriaan Fokker and Max Planck |
| Foppl-von Kármán equations |
Elasticity |
August Föppl and Theodore von Kármán |
| Fowler-Nordheim equation |
Condensed matter physics |
Ralph H. Fowler and Lothar Wolfgang Nordheim |
| Fredholm integral equation |
Integral equations |
Erik Fredholm |
| Fresnel equations |
Wave optics |
Augustin-Jean Fresnel |
| Friedmann equations |
Cosmology |
Alexander Friedman |
Gauss-Codazzi equations
Gauss-Codazzi equations (relativity) |
Riemannian geometry
General relativity |
Carl Friedrich Gauss and Delfino Codazzi
Carl Friedrich Gauss and Delfino Codazzi |
Gibbs-Duhem equation
Gibbs-Helmholtz equation |
Thermodynamics
Thermodynamics |
Josiah Willard Gibbs and Pierre Duhem
Josiah Willard Gibbs and Hermann von Helmholtz |
| Ginzburg-Landau equation |
Superconductivity |
Lev Landau and Vitaly Ginzburg |
Goldman-Hodgkin-Katz current equation
Goldman-Hodgkin-Katz voltage equation |
Electrochemistry
Electrochemistry |
David E. Goldman, Alan Hodgkin, and Bernard Katz
David E. Goldman, Alan Hodgkin, and Bernard Katz |
| Grad-Shafranov equation |
Magnetohydrodynamics, Plasma physics |
H. Grad and Vitaly D. Shafranov |
| Haaland equation |
Fluid dynamics |
S. E. Haaland |
| Hadamard-Rybczynski equation |
Bubble dynamics |
Jacques Hadamard and W. Rybczynski |
Hamilton–Jacobi equation
Hamilton-Jacobi-Bellman equation |
Hamiltonian mechanics
Optimal control |
William Hamilton and Carl Gustav Jacobi
William Hamilton, Carl Gustav Jacobi, and Richard Bellman |
| Hankinson's equation |
Wood science |
Hankinson |
| Hasegawa-Mima equation |
Plasma physics |
Akira Hasegawa and Kunioki Mima |
| Helmholtz equation |
Electromagnetic radiation, Seismology, Acoustics |
Hermann von Helmholtz |
| Henderson-Hasselbalch equation |
Chemistry |
Lawrence Joseph Henderson and Karl Albert Hasselbalch |
| Heun's equation |
Calculus |
Karl L. W. M. Heun |
| Hugoniot equation |
Compressible flows |
Pierre Henri Hugoniot |
| Hunter-Zheng equation |
Compressible flows |
J. K. Hunter and Y. Zheng |
| John's equation |
Calculus |
Fritz John |
| Johnson-Holmquist equation of state |
Ceramic science |
Johnson Holmquist |
| Kadomtsev–Petviashvili equation |
Wave mechanics |
Kadomtsev and Petviashvili |
| Kármán-Howarth equation |
Turbulent flow |
Theodore von Kármán and L. Howarth |
| Karplus equation |
Nuclear magnetic resonance |
Martin Karplus |
| Kaup–Kupershmidt equation |
Wave mechanics |
D. J. Kaup and B. A. Kupershmidt |
| Kepler's equation |
Astronomy |
Johannes Kepler |
| Klein-Gordon equation |
Quantum field theory |
Oskar Klein and Walter Gordon |
| Kohn-Sham equations |
Mathematics |
Walter Kohn and Lu Jeu Sham |
| Kolmogorov backward equation |
Probability distribution |
Andrey Kolmogorov |
| Korteweg–de Vries equation |
Wave mechanics, Solitons |
Diederik Korteweg and Gustav de Vries |
| Krichever-Novikov equation |
Lie algebra |
I. M. Krichever and Sergei Petrovich Novikov |
| Laguerre's equation |
Differential equation |
Edmond Laguerre |
| Lamm equation |
Sedimentation theory |
O. Lamm |
| Lane-Emden equation |
Astrophysics |
Jonathan Homer Lane and Robert Emden |
| Langevin equation |
Statistical physics |
Paul Langevin |
Laplace's equation
Laplace's tidal equations |
Electromagnetism, Fluid dynamics
Fluid dynamics |
Pierre-Simon Laplace
Pierre-Simon Laplace |
| Legendre's equation |
Spherical harmonics |
Adrien-Marie Legendre |
| Levy-Mises equations |
Solid mechanics |
Paul Pierre Lévy and Richard von Mises |
| Liénard equation |
Dynamical systems |
Liénard |
| Lindblad equation |
Quantum mechanics |
G. Lindblad |
| Lindley equation |
Queueing theory |
Dennis Lindley |
| Liouville equations |
Differential geometry |
Joseph Liouville |
| Lommel differential equation |
Calculus |
Eugen von Lommel |
| Lorentz equation |
Electromagnetism |
Hendrik Lorentz |
| Lorentz-Lorenz equation |
Optics |
Hendrik Lorentz and Ludvig Lorenz |
| Lotka-Volterra equation |
Biological systems |
Alfred J. Lotka and Vito Volterra |
| Lyapunov equation |
Control theory |
Aleksandr Lyapunov |
| Madelung equations |
Quantum mechanics |
Erwin Madelung |
| Majorana equation |
Quantum field theory |
Ettore Majorana |
| Marchenko equation |
Scattering theory |
Vladimir Marchenko |
| Mark-Houwink equation |
Polymer chemistry |
Herman Francis Mark and Houwink |
| Mason equation |
Atmospheric thermodynamics |
Basil John Mason |
| Mason-Weaver equation |
Sedimentation theory |
Max Mason and Warren Weaver |
| Mathieu equation |
Periodic phenemena, Parametric resonance |
Émile Léonard Mathieu |
| Mathisson-Papapetrou-Dixon equations |
General relativity, Gravitational waves |
Mathisson, A. Papapetrou, and G. W. Dixon| |
| Maurer-Cartan equation |
Lie groups, Differential geometry |
L. Maurer and Élie Joseph Cartan |
Maxwell's Equations
Maxwell Relations |
Electrodynamics
Thermodynamics |
James Clerk Maxwell
James Clerk Maxwell
|
| Mayo-Lewis equation |
Polymer chemistry |
Frank R. Mayo and Frederick M. Lewis |
| Michaelis-Menten equation |
Chemical kinetics |
Leonor Michaelis and Maud Menten |
| Monge–Ampère equation |
Calculus |
Gaspard Monge and André-Marie Ampère |
| Nahm equations |
Differential equations |
Werner Nahm |
| Navier-Stokes equations |
Fluid dynamics |
Claude-Louis Navier and George Gabriel Stokes |
| Nernst equation |
Electrochemistry |
Walther Nernst |
| Neugebauer equations |
Printing systems |
Hans E. J. Neugebauer |
| Newton-Euler equations |
Classical mechanics |
Isaac Newton and Leonhard Euler |
| Nonlinear Schrödinger equation |
Theoretical physics |
Erwin Schrödinger |
| Ornstein-Zernike equation |
Statistical mechanics |
Leonard Ornstein and Frits Zernike |
| Orr-Sommerfeld equation |
Fluid dynamics, Stability analysis |
W. M. F. Orr and Arnold Sommerfeld |
| Papapetrou-Dixon equations |
General relativity, Gravitational waves |
A. Papapetrou and G. W. Dixon| |
| Pauli equation |
Quantum mechanics |
Wolfgang Pauli |
| Pell's equation |
Algebra |
John Pell |
Penman equation
Penman-Monteith equation |
Agronomy
Agronomy |
Howard Penman
Howard Penman and J. L. Monteith |
| Picard-Fuchs equation |
Calculus |
Charles Émile Picard and Lazarus Fuchs |
Poisson's equation
Poisson-de Rham equation |
Calculus
Astrophysics |
Siméon Denis Poisson
Siméon Denis Poisson and Georges de Rham |
| Prandtl-Glauert equation |
Compressible flows |
Ludwig Prandtl and Hermann Glauert |
| Price equation |
Evolutionary dynamics, Evolutionary biology |
George R. Price |
| Prony equation |
Hydraulics |
Gaspard de Prony |
| Rabinovich-Fabrikant equations |
Chaotic systems |
M. I. Rabinovich and A. L. Fabrikant |
| Ramanujan-Nagell equation |
Algebra |
Srinivasa Ramanujan and Trygve Nagell |
| Rankine-Hugoniot equation |
Compressible flows |
William Rankine and Pierre Henri Hugoniot |
| Rarita-Schwinger equation |
Quantum electrodynamics |
William Rarita and Julian Schwinger |
| Raychaudhuri equation |
General relativity |
Amal Kumar Raychaudhuri |
Rayleigh's equation
Rayleigh-Pitot equation
Rayleigh-Plesset equation |
Stability of inviscid flows
Gasdynamics
Bubble oscillation |
Lord Rayleigh
Lord Rayleigh and Henri Pitot
Lord Rayleigh and Milton S. Plessett |
| Reynolds-averaged Navier-Stokes equations |
Turbulent flows |
Osborne Reynolds, Claude-Louis Navier, and George Stokes |
| Relativistic Euler equations |
Astrophysics, Fluid dynamics |
Leonhard Euler |
| Riccati equation |
Calculus |
Jacopo Riccati |
| Richards equation |
Hydrology |
Lorenzo Richards |
Riemann theta function
Riemann zeta function
Riemann's differential equation |
Special functions
Number theory
Differential equation |
Bernhard Riemann
Bernhard Riemann
Bernhard Riemann |
| Rodrigues equation |
Chromatography |
Alirio E. Rodrigues |
| Roothaan equations or Roothaan-Hall equations |
Quantum chemistry |
Clemens Roothaan and George Hall |
| Sackur–Tetrode equation |
Statistical thermodynamics |
Hugo Martin Tetrode and Otto Sackur |
| Sagan equation |
Cosmology |
Carl Sagan |
| Saha-Langmuir equation |
Quantum mechanics, Statistical mechanics |
Megh Nad Saha and Irving Langmuir |
| Sawada-Kotera equation |
Wave mechanics |
K. Sawada and T. Kotera |
| Scheil-Gulliver equation |
Metallurgy |
G. H. Gulliver and E. Scheil |
Schrödinger equation
Schrödinger-Newton equations |
Quantum mechanics
Quantum mechanics |
Erwin Schrödinger
Erwin Schrödinger and Isaac Newton |
| Schwinger-Dyson equation |
Quantum field theory |
Julian Schwinger and Freeman Dyson |
| Screened Poisson equation |
Plasma physics |
Siméon Denis Poisson |
| Sellmeier equation |
Optics |
W. Sellmeier |
| Sine-Gordon equation |
Solitons |
Walter Gordon |
| Slutsky equation |
Consumer theory |
Eugen Slutsky |
| Souders-Brown equation |
Separation processes |
M. Souders and G. G. Brown |
| Starling equation |
Fluid dynamics |
Ernest Starling |
| Sturm-Liouville equation |
Differential equation |
Jacques Charles François Sturm and Joseph Liouville |
| Swamee-Jain equation |
Fluid dynamics |
P. K. Swamee and A. K. Jain |
| Swift-Hohenberg equation |
Pattern formation |
J. B. Swift and P. C. Hohenberg |
Sylvester equation
Sylvester's formula |
Control theory
Matrix theory |
James Sylvester
James Sylvester |
| Tanaka equation |
Stochastic theory |
Hiroshi Tanaka |
| Torricelli's equation |
Mechanics |
Evangelista Torricelli |
| Tricomi equation |
Partial differential equations |
Francesco Tricomi |
| Tsiolkovsky rocket equation |
Astrodynamics |
Konstantin Tsiolkovsky |
| Van Deemter's equation |
Chromatography |
J. J. Van Deemter |
| Van der Pol equation |
Dynamical systems |
Balthasar van der Pol |
| Van der Waals equation |
Thermodynamics |
Johannes Diderik van der Waals |
| Van 't Hoff equation |
Chemical thermodynamics |
Jacobus Henricus van 't Hoff |
| Verhulst equation |
Population dynamics |
Pierre François Verhulst |
| Volterra integral equation |
Integral equations |
Vito Volterra |
| Wald's equation |
Probability theory |
Abraham Wald |
| Washburn's equation |
Flow in porous media |
Edward W. Washburn |
| Weber's equation |
Differential equation |
Heinrich Friedrich Weber |
| Welch-Satterthwaite equation |
Statistics, Uncertainty analysis |
B. L. Welch and F. E. Satterthwaite |
| Wheeler-deWitt equation |
Quantum gravity |
John Archibald Wheeler and Bryce DeWitt |
| Whewell equation |
Geometry |
William Whewell |
| Wiener equation |
Brownian motion |
Norbert Wiener |
| Yang–Baxter equation |
Statistical mechanics |
Chen Ning Yang and Rodney J. Baxter |
Young–Dupré equation
Young–Laplace equation |
Interfacial dynamics
Fluid dynamics |
Thomas Young and A. Dupré
Thomas Young and Pierre-Simon Laplace |
| Zakai equation |
Stochastic differential equations |
Zakai |
