List of laws in Science
physical laws discovered by science.
- <math> c_V = \frac{3R} {M} <math>
- <math> E = mc^2 <math> (Energy = mass × speed of light2)
- <math> F_g = \frac{Gm_1m_2} {r^2} <math>
- <math> F = \frac{\left|q_1 q_2\right|}{4 \pi \epsilon_0 r^2} <math>
- <math> V = IR<math>
| Name
| Partial Differential form
|
| Gauss's law:
| <math>\nabla \cdot \mathbf{D} = \rho <math>
|
|
|
| Gauss's law for magnetism:
| <math>\nabla \cdot \mathbf{B} = 0<math>
|
| Faraday's law of induction:
| <math>\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}<math>
|
| Ampere's law + Maxwell's extension:
| <math>\nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}} {\partial t}<math>
|
- <math>-\nabla p +
\mu \left( \nabla^2 \mathbf{u} + {1 \over 3} \nabla (\nabla \cdot \mathbf{u} ) \right) +
\rho \mathbf{u}
= \rho \left( { \partial\mathbf{u} \over \partial t } +
\mathbf{u} \cdot \nabla \mathbf{u}
\right) <math>
- <math> \Phi_{V} = {\pi r^{4}\over 8 \eta} { \triangle p^{\star} \over l} <math>
- <math> j^{\star} = \sigma T^4 <math>
- <math> \mathbf{J}_{u} = L_{uu}\, \nabla(1/T) - L_{ur}\, \nabla(m/T) \! <math>; and
- <math> \mathbf{J}_{r} = L_{ru}\, \nabla(1/T) - L_{rr}\, \nabla(m/T) \! <math>.
See also
