| 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
 |