This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
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 |
||
---|---|---|---|
Line 5: | Line 5: | ||
<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}}] | ||
Line 39: | Line 39: | ||
$$ \nabla \cdot J + \frac { \partial ( \nabla \cdot D ) } { \partial t } = 0. | $$ \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 | ||
$$ | $$ |