This is a list of **scientific equations named after people** (eponymous equations).

Equation | Field | Person(s) named after |
---|---|---|

Adams–Williamson equation | Seismology | L. H. Adams and E. D. Williamson |

Allen–Cahn equation | Phase separation | S. Allen and John W. Cahn |

Archard equation | Materials science | John F. Archard |

Arrhenius equation | Chemical kinetics | Svante Arrhenius |

Aryabhata equation | Number theory | Aryabhata |

Ashkin–Teller model | Statistical mechanics | Edward Teller Julius Ashkin |

Avrami equation | Phase transformation | Melvin Avrami |

Bellman equation | Control theory | Richard Bellman |

Beltrami equation | Differential geometry | Eugenio Beltrami |

Benedict–Webb–Rubin equation | Fluid dynamics | M. Benedict, G. B. Webb, and L. C. Rubin |

Benjamin–Bona–Mahony equation Benjamin–Ono equation |
Fluid dynamics, Wave mechanics Waves in fluids |
T. B. Benjamin, J. L. Bona, and J. J. Mahony T. B. Benjamin and H. Ono |

Bernoulli's 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 D. Murnaghan |

Birkhoff–Rott equation | Fluid dynamics | Garrett Birkhoff |

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 |

Bôcher's equation | Calculus | Maxime Bôcher |

Borda–Carnot equation | Fluid dynamics | Jean-Charles de Borda and Lazare Carnot |

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 |

Camassa–Holm equation | Fluid dynamics | Roberto Camassa and Darryl Holm |

Carothers equation | Polymer chemistry | Wallace Carothers |

Cauchy's equation Cauchy momentum equation Cauchy's functional equation Cauchy's integral formula Cauchy–Euler equation Cauchy–Riemann equations |
Optics Fluid Dynamics Functional theory Complex Analysis Calculus Complex Analysis |
Augustin Louis Cauchy 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 Chapman–Enskog equation |
Probability theory Kinetic theory |
Sydney Chapman and Andrey Kolmogorov Sydney Chapman and David Enskog |

Chebyshev equation | Calculus | Pafnuty Chebyshev |

Churchill–Bernstein equation | Heat Transfer | S. W. Churchill and M. Bernstein |

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 | Fluid dynamics | Henry Darcy and Julius Weisbach |

Davey–Stewartson equation | Fluid dynamics | A. Davey and K. Stewartson |

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 |

Ernst equation | PDE | Frederick J. Ernst |

Euler equations (fluid dynamics) Euler's equations (rigid body dynamics) Euler–Bernoulli beam equation Euler–Lagrange equation Euler–Darboux equation Euler–Poisson–Darboux equation Euler–Tricomi equation |
Fluid dynamics Rigid body dynamics Solid mechanics Calculus of variations Calculus Calculus Calculus |
Leonhard Euler Leonhard Euler Leonhard Euler and Daniel Bernoulli Leonhard Euler and Joseph Louis Lagrange Leonhard Euler and Jean Darboux Euler, Poisson, and Jean Darboux Leonhard Euler and Francesco Tricomi |

Exner equation | Geology, Sedimentology | Felix Maria Exner |

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 | Irving Fisher |

Fisher's equation | Mathematics | Ronald Fisher |

Fokker–Planck equation | Probability theory | Adriaan Fokker and Max Planck |

Föppl–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 flux 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 |

Green–Kubo relations | Statistical mechanics | M. S. Green and Ryogo Kubo |

Gross–Pitaevskii equation | Condensed matter physics | E. P. Gross and Lev P. Pitaevskii |

Haaland equation | Fluid dynamics | S. E. Haaland |

Hadamard–Rybczynski equation | Bubble dynamics | Jacques Hadamard and Witold Rybczyński |

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 |

Hammett equation | Organic Chemistry | Louis Plack Hammett |

Hankinson's equation | Wood science | Hankinson |

Hartree equation | Atomic physics | Douglas Hartree |

Hartree–Fock equation | Quantum Chemistry | Douglas Hartree and Vladimir Fock |

Hasegawa–Mima equation | Plasma physics | Akira Hasegawa and Kunioki Mima |

Hazen–Williams equation | Hydraulics, Irrigation | Hazen and Williams |

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 |

Hill equation (biochemistry) | Biochemistry | Archibald Vivian Hill |

Hill differential equation | Orbital Mechanics | George William Hill |

Hugoniot equation | Compressible flows | Pierre Henri Hugoniot |

Hunter–Saxton equation Hunter–Zheng equation |
Liquid crystals PDE |
John K. Hunter and Ralph Saxton John K. Hunter and Yuxi Zheng |

Ishimori equation | PDE | Y. Ishimori |

John's equation | Calculus | Fritz John |

Johnson–Holmquist equation of state | Ceramic science | Johnson Holmquist |

Kadomtsev–Petviashvili equation Kadomtsev–Petviashvili–Burgers equation |
Wave mechanics Wave mechanics |
B. B. Kadomtsev and V. I. Petviashvili B. B. Kadomtsev, V. I. Petviashvili, and J. M. Burgers |

Kapustinskii equation | Crystallography | Anatoli Kapustinskii |

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 |

Kolmogorov–Feller equation | Probabilistic models | Andrey Kolmogorov and William Feller |

Korteweg–de Vries equation | Wave mechanics, Solitons | Diederik Korteweg and Gustav de Vries |

Kozeny–Carman equation | Fluid dynamics, Unit operations | Josef Kozeny and Philip C. Carman |

Krichever–Novikov equation | Lie algebra | I. M. Krichever and Sergei Novikov |

Laguerre's equation | Differential equation | Edmond Laguerre |

Lamm equation | Sedimentation theory | O. Lamm |

Landau–Lifshitz equation | Aeroacoustics | Lev Landau and Evgeny Lifshitz |

Landau–Lifshitz–Gilbert equation | Magnetization | Lev Landau, Evgeny Lifshitz, and T. L. Gilbert |

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 |

Leonard–Merritt formula | Astrophysics | Peter Leonard and David Merritt |

Levy–Mises equations | Solid mechanics | Paul Lévy and Richard von Mises |

Liénard equation | Dynamical systems | Alfred-Marie Liénard |

Lighthill equation | Aeroacoustics | James Lighthill |

Lindblad equation | Quantum mechanics | G. Lindblad |

Lin–Tsien equation | PDE | Lin and Tsien |

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 |

Manakov equation | Wave mechanics, Fiber optics | S. V. Manakov |

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 | Ludwig 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 |

Morison equation | Fluid dynamics | J. R. Morison |

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 |

Painlevé equations | Differential equations | Paul Painlevé |

Orr–Sommerfeld equation | Fluid dynamics, Stability analysis | William McFadden Orr and Arnold Sommerfeld |

Osipkov–Merritt model | Astrophysics | Leonid Osipkov and David Merritt |

Papapetrou–Dixon equations | General relativity, Gravitational waves | A. Papapetrou and G. W. Dixon| |

Pauli equation | Quantum mechanics | Wolfgang Pauli |

Pell's equation | Number theory | 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 |

Pople—Nesbet equations | Quantum Chemistry | John Pople and R. K. Nesbet |

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 | Number theory | 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. Plesset |

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 |

Sakuma–Hattori equation | Thermal radiation | Fumihiro Sakuma and Susumu Hattori |

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 |

Seiberg–Witten equation | PDE | Nathan Seiberg and Edward Witten |

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 |

Stokes–Einstein equation | Diffusion of particles | George Gabriel Stokes and Albert Einstein |

Strominger's equations | Heterotic string theory | Andrew Strominger |

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 |

Taft equation | Physical organic Chemistry | Robert W. Taft |

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 |

Vlasov equation Vlasov–Poisson equation |
Plasma physics Plasma physics |
Anatoly Vlasov Anatoly Vlasov and Siméon Denis Poisson |

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 |

Whitham equation | Wave mechanics, Solitons | Gerald Whitham |

Wiener equation | Brownian motion | Norbert Wiener |

Yang–Baxter equation Yang–Mills–Higgs equations |
Statistical mechanics Gauge theory, Quantum field theory |
Chen Ning Yang and Rodney J. Baxter Chen Ning Yang, Robert Mills, and Peter Higgs |

Young–Dupré equation Young–Laplace equation |
Interfacial dynamics Fluid dynamics |
Thomas Young and Lewis Dupré Thomas Young and Pierre-Simon Laplace |

Zakai equation | Stochastic differential equations | M. Zakai |

Zakharov–Schulman system of equation | Acoustic waves | Vladimir E. Zakharov and E. I. Schulman |

Read more about Scientific Equations Named After People: See Also

### Famous quotes containing the words scientific, named and/or people:

“The *scientific* imagination always restrains itself within the limits of probability.”

—Thomas Henry Huxley (1825–95)

“We were hospitably entertained in Concord, New Hampshire, which we persisted in calling New Concord, as we had been wont, to distinguish it from our native town, from which we had been told that it was *named* and in part originally settled. This would have been the proper place to conclude our voyage, uniting Concord with Concord by these meandering rivers, but our boat was moored some miles below its port.”

—Henry David Thoreau (1817–1862)

“What is to be done with *people* who can’t read a Sunday paper without messing it all up?... Show me a Sunday paper which has been left in a condition fit only for kite flying, and I will show you an antisocial and dangerous character who has left it that way.”

—Robert Benchley (1889–1945)