This is a list of scientific equations named after people (eponymous equations).[1]
| Equation | Field | Person(s) named after | |
|---|---|---|---|
| Seismology | L. H. Adams and E. D. Williamson | ||
| Allen–Cahn equation[2] [3] | Phase separation | S. Allen and John W. Cahn | |
| Materials science | John F. Archard | ||
| Chemical kinetics | Svante Arrhenius | ||
| Number theory | Aryabhata | ||
| Statistical mechanics | Edward Teller Julius Ashkin | ||
| Phase transformation | Melvin Avrami | ||
| Turbulence | George Batchelor and Subrahmanyan Chandrasekhar | ||
| Radioactivity | Harry Bateman | ||
| Control theory | Richard Bellman | ||
| Differential geometry | Eugenio Beltrami | ||
| Fluid dynamics | M. Benedict, G. B. Webb, and L. C. Rubin | ||
| Fluid dynamics, Wave mechanics Waves in fluids | T. B. Benjamin, J. L. Bona, and J. J. Mahony T. B. Benjamin and H. Ono | ||
| Fluid dynamics | Daniel Bernoulli | ||
| Calculus | Jacob Bernoulli | ||
| Special functions | Friedrich Bessel | ||
| Continuum mechanics | Francis Birch and Francis D. Murnaghan | ||
| Birkhoff–Rott equation[4] [5] | Fluid dynamics | Garrett Birkhoff | |
| Electronics | James R. Black | ||
| Mathematical finance | Fischer Black and Myron Scholes | ||
| Agronomy | Blaney and Criddle | ||
| Thermodynamics | Ludwig Boltzmann | ||
| Calculus | Maxime Bôcher | ||
| Fluid dynamics | Jean-Charles de Borda and Lazare Carnot | ||
| Wave mechanics | Joseph Boussinesq | ||
| Quantum mechanics | Gregory Breit | ||
| 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 | |
| Two-phase flow in porous media | S. E. Buckley and M. C. Leverett | ||
| Fluid dynamics | Johannes Martinus Burgers | ||
| Phase separation | John W. Cahn and John E. Hilliard | ||
| Quantum field theory | Curtis Callan and Kurt Symanzik | ||
| Thermodynamics | Hugh Longbourne Callendar and M. S. Van Dusen | ||
| Fluid dynamics | Roberto Camassa and Darryl Holm | ||
| Carmona-Orbezo number[8] | Flow electrode capacitive deionization | Aranzazu Carmona-Orbezo | |
| Polymer chemistry | Wallace Carothers | ||
| Optics Fluid dynamics Functional theory Complex analysis Calculus Complex analysis | |||
| Differential geometry | Ernesto Cesàro | ||
| General relativity | Subrahmanyan Chandrasekhar and Page | ||
| 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 | |
| Calculus | Pafnuty Chebyshev | ||
| Differential equations | George Chrystal | ||
| Heat Transfer | S. W. Churchill and M. Bernstein | ||
| Calculus | Alexis Clairaut | ||
| Combustion | John Frederick Clarke | ||
| Calculus | Rudolf Clausius and Émile Clapeyron | ||
| Physics | Rudolf Clausius and Ottaviano-Fabrizio Mossotti | ||
| Fluid dynamics Fluid dynamics | C. F. Colebrook C. F. Colebrook and F. M. White | ||
| Population dynamics | Alfred J. Lotka and Vito Volterra | ||
| Topology, Differential geometry | Wilhelm Killing | ||
| Fluid dynamics | Henry Darcy and Julius Weisbach | ||
| Fluid dynamics | A. Davey and K. Stewartson | ||
| Electrochemistry | Peter Debye and Erich Hückel | ||
| Mathematical physics | Antonio Degasperis and M. Procesi | ||
| Geometry | Max Dehn and Duncan Sommerville | ||
| Mathematics | Diophantus of Alexandria | ||
| Quantum mechanics Quantum field theory | Paul Dirac Paul Dirac | ||
| Wave mechanics | Christian Doppler | ||
| Cosmology | Frank Drake | ||
| Differential equations | Duffing | ||
| Wave mechanics | Harry Dym | ||
| General relativity | Albert Einstein | ||
| PDE | Frederick J. Ernst | ||
| 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 | ||
| Geology, Sedimentology | Felix Maria Exner | ||
| Chemical kinetics | Henry Eyring and Michael Polanyi | ||
| Quantum mechanics | Ludvig Faddeev | ||
| Boundary layer flow | V. M. Falkner and S. W. Skan | ||
| Transonic flow | Falkowich and Theodore von Kármán | ||
| Distillation | Merrell Fenske | ||
| Financial mathematics | Irving Fisher | ||
| Mathematics | Ronald Fisher | ||
| Probability theory | Adriaan Fokker and Max Planck | ||
| Elasticity | August Föppl and Theodore von Kármán | ||
| Condensed matter physics | Ralph H. Fowler and Lothar Wolfgang Nordheim | ||
| Integral equations | Erik Fredholm | ||
| Wave optics | Augustin-Jean Fresnel | ||
| Cosmology | Alexander Friedman | ||
| Riemannian geometry General relativity | Carl Friedrich Gauss and Delfino Codazzi Carl Friedrich Gauss and Delfino Codazzi | ||
| Thermodynamics Thermodynamics | Josiah Willard Gibbs and Pierre Duhem Josiah Willard Gibbs and Hermann von Helmholtz | ||
| Superconductivity | Lev Landau and Vitaly Ginzburg | ||
| Electrochemistry Electrochemistry | David E. Goldman, Alan Hodgkin, and Bernard Katz David E. Goldman, Alan Hodgkin, and Bernard Katz | ||
| Magnetohydrodynamics, Plasma physics | H. Grad and Vitaly D. Shafranov | ||
| Statistical mechanics | M. S. Green and Ryogo Kubo | ||
| Condensed matter physics | E. P. Gross and Lev P. Pitaevskii | ||
| Fluid dynamics | S. E. Haaland | ||
| Bubble dynamics | Jacques Hadamard and Witold Rybczyński | ||
| Hamiltonian mechanics Optimal control | William Hamilton and Carl Gustav Jacobi William Hamilton, Carl Gustav Jacobi, and Richard Bellman | ||
| Organic chemistry | Louis Plack Hammett | ||
| Wood science | Hankinson | ||
| Atomic physics | Douglas Hartree | ||
| Quantum chemistry | Douglas Hartree and Vladimir Fock | ||
| Plasma physics | Akira Hasegawa and Kunioki Mima | ||
| Hydraulics, Irrigation | Hazen and Williams | ||
| Electromagnetic radiation, Seismology, Acoustics | Hermann von Helmholtz | ||
| Chemistry | Lawrence Joseph Henderson and Karl Albert Hasselbalch | ||
| Calculus | Karl L. W. M. Heun | ||
| Fluid dynamics | William Mitchinson Hicks | ||
| Biochemistry | Archibald Vivian Hill | ||
| Orbital mechanics | George William Hill | ||
| Compressible flows | Pierre Henri Hugoniot | ||
| Liquid crystals PDE | John K. Hunter and Ralph Saxton John K. Hunter and Yuxi Zheng | ||
| PDE | Y. Ishimori | ||
| Calculus | Fritz John | ||
| Ceramic science | Johnson Holmquist | ||
| Wave mechanics Wave mechanics | B. B. Kadomtsev and V. I. Petviashvili B. B. Kadomtsev, V. I. Petviashvili, and J. M. Burgers | ||
| Crystallography | Anatoli Kapustinskii | ||
| Turbulence | Theodore von Kármán and Leslie Howarth | ||
| Nuclear magnetic resonance | Martin Karplus | ||
| Wave mechanics | D. J. Kaup and B. A. Kupershmidt | ||
| Astronomy | Johannes Kepler | ||
| Quantum field theory | Oskar Klein and Walter Gordon | ||
| Mathematics | Walter Kohn and Lu Jeu Sham | ||
| Probability distribution | Andrey Kolmogorov | ||
| Kolmogorov–Feller equation[11] | Probabilistic models | Andrey Kolmogorov and William Feller | |
| Wave mechanics, Solitons | Diederik Korteweg and Gustav de Vries | ||
| Fluid dynamics, Unit operations | Josef Kozeny and Philip C. Carman | ||
| Lie algebra | I. M. Krichever and Sergei Novikov | ||
| Differential equation | Edmond Laguerre | ||
| Sedimentation theory | O. Lamm | ||
| Aeroacoustics | Lev Landau and Evgeny Lifshitz | ||
| Magnetization | Lev Landau, Evgeny Lifshitz, and T. L. Gilbert | ||
| Astrophysics | Jonathan Homer Lane and Robert Emden | ||
| Statistical physics | Paul Langevin | ||
| Electromagnetism, Fluid dynamics Fluid dynamics | Pierre-Simon Laplace Pierre-Simon Laplace | ||
| Spherical harmonics | Adrien-Marie Legendre | ||
| Astrophysics | Peter Leonard and David Merritt | ||
| Solid mechanics | Paul Lévy and Richard von Mises | ||
| Dynamical systems | Alfred-Marie Liénard | ||
| Aeroacoustics | James Lighthill | ||
| Quantum mechanics | G. Lindblad | ||
| PDE | Lin and Tsien | ||
| Combustion | |||
| Queueing theory | Dennis Lindley | ||
| Differential geometry | Joseph Liouville | ||
| Calculus | Eugen von Lommel | ||
| Electromagnetism | Hendrik Lorentz | ||
| Optics | Hendrik Lorentz and Ludvig Lorenz | ||
| Systems biology | Biological systems | Alfred J. Lotka and Vito Volterra | |
| Control theory | Aleksandr Lyapunov | ||
| Quantum mechanics | Erwin Madelung | ||
| Quantum field theory | Ettore Majorana | ||
| Wave mechanics, Fiber optics | S. V. Manakov | ||
| Scattering theory | Vladimir Marchenko | ||
| Polymer chemistry | Herman Francis Mark and Houwink | ||
| Atmospheric thermodynamics | Basil John Mason | ||
| Sedimentation theory | Max Mason and Warren Weaver | ||
| Periodic phenomena, Parametric resonance | Émile Léonard Mathieu | ||
| General relativity, Gravitational waves | Mathisson, A. Papapetrou, and G. W. Dixon | ||
| Lie groups, Differential geometry | Ludwig Maurer and Élie Joseph Cartan | ||
| Maxwell's equations Maxwell relations | Electrodynamics Thermodynamics | James Clerk Maxwell James Clerk Maxwell | |
| Polymer chemistry | Frank R. Mayo and Frederick M. Lewis | ||
| Chemical kinetics | Leonor Michaelis and Maud Menten | ||
| Calculus | Gaspard Monge and André-Marie Ampère | ||
| Fluid dynamics | J. R. Morison | ||
| Differential equations | Werner Nahm | ||
| Fluid dynamics | Claude-Louis Navier and George Gabriel Stokes | ||
| Electrochemistry | Walther Nernst | ||
| Printing systems | Hans E. J. Neugebauer | ||
| Classical mechanics | Isaac Newton and Leonhard Euler | ||
| Theoretical physics | Erwin Schrödinger | ||
| Statistical mechanics | Leonard Ornstein and Frits Zernike | ||
| Differential equations | Paul Painlevé | ||
| Fluid dynamics, Stability analysis | William McFadden Orr and Arnold Sommerfeld | ||
| Astrophysics | Leonid Osipkov and David Merritt | ||
| General relativity, Gravitational waves | A. Papapetrou and G. W. Dixon | ||
| Quantum mechanics | Wolfgang Pauli | ||
| Number theory | John Pell | ||
| Agronomy Agronomy | Howard Penman Howard Penman and J. L. Monteith | ||
| Calculus | Charles Émile Picard and Lazarus Fuchs | ||
| Calculus Astrophysics | Siméon Denis Poisson Siméon Denis Poisson and Georges de Rham | ||
| Quantum Chemistry | John Pople and R. K. Nesbet | ||
| Compressible flows | Ludwig Prandtl and Hermann Glauert | ||
| Evolutionary dynamics, Evolutionary biology | George R. Price | ||
| Hydraulics | Gaspard de Prony | ||
| Chaotic systems | M. I. Rabinovich and A. L. Fabrikant | ||
| Number theory | Srinivasa Ramanujan and Trygve Nagell | ||
| Cyclic voltammetry | John Edward Brough Randles | ||
| Compressible flows | William Rankine and Pierre Henri Hugoniot | ||
| Quantum electrodynamics | William Rarita and Julian Schwinger | ||
| General relativity | Amal Kumar Raychaudhuri | ||
| Stability of inviscid flows Gas dynamics Bubble oscillation | Lord Rayleigh Lord Rayleigh and Henri Pitot Lord Rayleigh and Milton S. Plesset | ||
| Turbulent flows | Osborne Reynolds, Claude-Louis Navier, and George Stokes | ||
| Astrophysics, Fluid dynamics | Leonhard Euler | ||
| Calculus | Jacopo Riccati | ||
| Hydrology | Lorenzo Richards | ||
| Special functions Number theory Differential equation | Bernhard Riemann Bernhard Riemann Bernhard Riemann | ||
| Chromatography | Alirio E. Rodrigues | ||
| Roothaan equations or Roothaan–Hall equations | Quantum chemistry | Clemens Roothaan and George Hall | |
| Statistical thermodynamics | Hugo Martin Tetrode and Otto Sackur | ||
| Cosmology | Carl Sagan | ||
| Quantum mechanics, Statistical mechanics | Megh Nad Saha and Irving Langmuir | ||
| 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 | |
| Metallurgy | G. H. Gulliver and E. Scheil | ||
| Quantum mechanics Quantum mechanics | Erwin Schrödinger Erwin Schrödinger and Isaac Newton | ||
| Quantum field theory | Julian Schwinger and Freeman Dyson | ||
| Plasma physics | Siméon Denis Poisson | ||
| PDE | Nathan Seiberg and Edward Witten | ||
| Optics | W. Sellmeier | ||
| Solitons | Walter Gordon | ||
| Consumer theory | Eugen Slutsky | ||
| Separation processes | M. Souders and G. G. Brown | ||
| Fluid dynamics | Ernest Starling | ||
| Diffusion of particles | George Gabriel Stokes and Albert Einstein | ||
| Heterotic string theory | Andrew Strominger | ||
| Fluid dynamics | John Trevor Stuart and Lev Landau | ||
| Differential equation | Jacques Charles François Sturm and Joseph Liouville | ||
| Fluid dynamics | P. K. Swamee and A. K. Jain | ||
| Pattern formation | J. B. Swift and P. C. Hohenberg | ||
| Control theory Matrix theory | James Sylvester James Sylvester | ||
| Physical organic chemistry | Robert W. Taft | ||
| Stochastic theory | Hiroshi Tanaka | ||
| Fluid dynamics | G.I. Taylor and Sydney Goldstein | ||
| Mechanics | Evangelista Torricelli | ||
| Partial differential equations | Francesco Tricomi | ||
| Astrodynamics | Konstantin Tsiolkovsky | ||
| Chromatography | J. J. Van Deemter | ||
| Dynamical systems | Balthasar van der Pol | ||
| Thermodynamics | Johannes Diderik van der Waals | ||
| Chemical thermodynamics | Jacobus Henricus van 't Hoff | ||
| Population dynamics | Pierre François Verhulst | ||
| Plasma physics Plasma physics | Anatoly Vlasov Anatoly Vlasov and Siméon Denis Poisson | ||
| Integral equations | Vito Volterra | ||
| Probability theory | Abraham Wald | ||
| Flow in porous media | Edward W. Washburn | ||
| Differential equation | Heinrich Friedrich Weber | ||
| Statistics, Uncertainty analysis | B. L. Welch and F. E. Satterthwaite | ||
| Quantum gravity | John Archibald Wheeler and Bryce DeWitt | ||
| Geometry | William Whewell | ||
| Wave mechanics, Solitons | Gerald Whitham | ||
| Brownian motion | Norbert Wiener | ||
| 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 | |
| Stochastic differential equations | M. Zakai | ||
| Acoustic waves | Vladimir E. Zakharov and E. I. Schulman |