List of named differential equations

Summary

Differential equations play a prominent role in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc. This list presents differential equations that have received specific names, area by area.

Mathematics edit

Algebraic geometry edit

Complex analysis edit

Differential geometry edit

Dynamical systems and Chaos theory edit

Mathematical physics edit

Ordinary Differential Equations (ODEs) edit

Riemannian geometry edit

Physics edit

Astrophysics edit

Classical mechanics edit

Electromagnetism edit

Fluid dynamics and hydrology edit

General relativity edit

Materials science edit

Nuclear physics edit

Plasma physics edit

Quantum mechanics and quantum field theory edit

Thermodynamics and statistical mechanics edit

Waves (mechanical or electromagnetic) edit

Engineering edit

Electrical and Electronic Engineering edit

Game theory edit

Mechanical engineering edit

Nuclear engineering edit

  • Neutron diffusion equation[3]

Optimal control edit

Orbital mechanics edit

Signal processing edit

Transportation engineering edit

Chemistry edit

Biology and medicine edit

Population dynamics edit

Economics and finance edit

Linguistics edit

Military strategy edit

References edit

  1. ^ Zebiak, Stephen E.; Cane, Mark A. (1987). "A Model El Niño–Southern Oscillation". Monthly Weather Review. 115 (10): 2262–2278. doi:10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2. ISSN 1520-0493.
  2. ^ Griffiths, David J. (2004), Introduction to Quantum Mechanics (2nd ed.), Prentice Hall, pp. 1–2, ISBN 0-13-111892-7
  3. ^ Ragheb, M. (2017). "Neutron Diffusion Theory" (PDF).
  4. ^ Choi, Youngsoo (2011). "PDE-constrained Optimization and Beyond" (PDF).
  5. ^ Heinkenschloss, Matthias (2008). "PDE Constrained Optimization" (PDF). SIAM Conference on Optimization.
  6. ^ Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad (1992). "Nonlinear total variation based noise removal algorithms". Physica D. 60 (1–4): 259–268. Bibcode:1992PhyD...60..259R. CiteSeerX 10.1.1.117.1675. doi:10.1016/0167-2789(92)90242-F.
  7. ^ Murray, James D. (2002). Mathematical Biology I: An Introduction (PDF). Interdisciplinary Applied Mathematics. Vol. 17 (3rd ed.). New York: Springer. pp. 395–417. doi:10.1007/b98868. ISBN 978-0-387-95223-9.
  8. ^ Fernández-Villaverde, Jesús (2010). "The econometrics of DSGE models" (PDF). SERIEs. 1 (1–2): 3–49. doi:10.1007/s13209-009-0014-7. S2CID 8631466.
  9. ^ Piazzesi, Monika (2010). "Affine Term Structure Models" (PDF).
  10. ^ Cardaliaguet, Pierre (2013). "Notes on Mean Field Games (from P.-L. Lions' lectures at Collège de France)" (PDF).