User:Tohline/Appendix/Equation templates

Key Equations Used Throughout H_Book

To insert a given equation into any Wiki document, type ... {{ User:Tohline/Math/Template_Name }}
Template_Name	Resulting Equation
EQ_Continuity01	<math>\frac{d\rho}{dt} + \rho \nabla \cdot \vec{v} = 0</math>
EQ_Euler01	<math>\frac{d\vec{v}}{dt} = - \frac{1}{\rho} \nabla P - \nabla \Phi</math>
EQ_FirstLaw01	<math>T \frac{ds}{dt} = \frac{d\epsilon}{dt} + P \frac{d}{dt} \biggl(\frac{1}{\rho}\biggr)</math>
EQ_Poisson01	<math>\nabla^2 \Phi = 4\pi G \rho</math>
EQ_EOSideal02	<math>~P = (\gamma_\mathrm{g} - 1)\epsilon \rho </math>

 

© 2014 - 2021 by Joel E. Tohline |   H_Book Home   |   YouTube   | Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS | Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation