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equations:continuity_equation [2018/04/19 10:11]
jakobadmin
equations:continuity_equation [2018/05/13 09:19]
jakobadmin ↷ Links adapted because of a move operation
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
  
-The continuity equation states that the total $\color{blue}{\text{change of some quantity}}$ is equal to the $\color{red}{\text{amount that gets produced}}$ ​plus the amount that $\color{magenta}{\text{flows in minus the amount that flows out of the volume}}$.+The continuity equation states that the total $\color{blue}{\text{change of some quantity}}$ is equal to the $\color{red}{\text{amount that gets produced}}$ ​minus the amount that $\color{magenta}{\text{flows out of the volume}}$.
  
 [{{ :​equations:​venturi.gif?​nolink |Image by Thierry Dugnolle}}] [{{ :​equations:​venturi.gif?​nolink |Image by Thierry Dugnolle}}]
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 $$ \nabla \cdot  J  + \frac { \partial ( \nabla \cdot  D  ) } { \partial t } = 0. $$ \nabla \cdot  J  + \frac { \partial ( \nabla \cdot  D  ) } { \partial t } = 0.
 $$ $$
-Finally, we use another [[equations:​maxwell_equations|Maxwell equation]], namely [[equations:​yang_mills_equations:​gauss_law|Gauss law]], ​+Finally, we use another [[equations:​maxwell_equations|Maxwell equation]], namely [[formulas:​yang_mills_equations:​gauss_law|Gauss law]], ​
 $$\nabla \cdot  D  = \rho $$\nabla \cdot  D  = \rho
  $$  $$
equations/continuity_equation.txt · Last modified: 2020/03/03 10:38 by 128.179.254.165