equations:continuity_equation
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equations:continuity_equation [2018/04/19 10:11] jakobadmin [Intuitive] |
equations:continuity_equation [2020/03/03 10:38] (current) 128.179.254.165 |
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| - | <WRAP lag> $\color{blue}{\frac{\partial \rho}{\partial t}} = \color{red}{\sigma} - \color{magenta}{\rho \vec \nabla \vec v} $</WRAP> | + | <WRAP lag> $\color{blue}{\frac{\partial \rho}{\partial t}} = \color{red}{\sigma} - \color{magenta}{\rho \vec{\nabla} \cdot \vec{v}} $</WRAP> |
| ====== Continuity Equation ====== | ====== Continuity Equation ====== | ||
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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:gauss_law|Gauss law]], |
| $$\nabla \cdot D = \rho | $$\nabla \cdot D = \rho | ||
| $$ | $$ | ||
equations/continuity_equation.1524125478.txt.gz · Last modified: 2018/04/19 08:11 (external edit)
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