Editing Field equation (section)

==Classical field equation==

{{main|classical mechanics|classical field theory}}

Classical field equations arise in [[continuum mechanics]] (including [[elastodynamics]] and [[fluid mechanics]]), [[heat transfer]], [[electromagnetism]], and [[gravitation]].

Fundamental classical field equations include

*[[Newton's Law of Universal Gravitation]] for nonrelativistic gravitation.
*[[Einstein field equations]] for [[General Relativity|relativistic gravitation]]
*[[Maxwell's equations]] for electromagnetism.

Important equations derived from fundamental laws include:

*[[Navier–Stokes equations]] for fluid flow.

As part of real-life [[mathematical modelling]] processes, classical field equations are accompanied by other [[equations of motion]], [[equations of state]], [[constitutive equation]]s, and continuity equations.