| Equation |
Field |
Person(s) named after
|
| Adams–Williamson equation |
Seismology |
L. H. Adams and E. D. Williamson
|
| Allen–Cahn equation[2][3] |
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
|
| Batchelor–Chandrasekhar equation |
Turbulence |
George Batchelor and Subrahmanyan Chandrasekhar
|
| Bateman equation |
Radioactivity |
Harry Bateman
|
| 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[4][5] |
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[6] Bridgman's thermodynamic equations |
Dimensional analysis Thermodynamics |
Percy Williams Bridgman Percy Williams Bridgman
|
| Broer–Kaup–Kupershmidt equation[7]
|
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
|
| Carmona-Orbezo number[8]
|
Flow electrode capacitive deionization
|
Aranzazu Carmona-Orbezo
|
| 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
|
| Chandrasekhar–Page equations |
General relativity |
Subrahmanyan Chandrasekhar and Page
|
| Chaplygin's equation |
Transonic flow |
Sergey Chaplygin
|
Chapman–Kolmogorov equation Chapman–Enskog equation[9]
|
Probability theory Kinetic theory |
Sydney Chapman and Andrey Kolmogorov Sydney Chapman and David Enskog
|
| Chebyshev equation |
Calculus |
Pafnuty Chebyshev
|
| Chrystal's equation |
Differential equations |
George Chrystal
|
| Churchill–Bernstein equation |
Heat Transfer |
S. W. Churchill and M. Bernstein
|
| Clairaut's equation |
Calculus |
Alexis Clairaut
|
| Clarke's equation |
Combustion |
John Frederick Clarke
|
| 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[10] 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
|
| Hicks equation |
Fluid dynamics |
William Mitchinson Hicks
|
| 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 |
Turbulence |
Theodore von Kármán and Leslie 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[11] |
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
|
| Liñán's equation |
Combustion |
Amable Liñán
|
| 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 phenomena, 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
|
| Randles–Sevcik equation |
Cyclic voltammetry |
John Edward Brough Randles
|
| 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 Gas dynamics 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
|
| Saint-Venant equations |
Fluid dynamics |
Adhémar Jean Claude Barré de Saint-Venant
|
| Sakuma–Hattori equation[12] |
Thermal radiation |
Fumihiro Sakuma and Susumu Hattori
|
| Sawada–Kotera equation[13] |
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
|
| Stuart–Landau equation |
Fluid dynamics |
John Trevor Stuart and Lev Landau
|
| 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
|
| Taylor–Goldstein equation |
Fluid dynamics |
G.I. Taylor and Sydney Goldstein
|
| 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
|