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| author | Prefetch | 2023-10-21 14:21:59 +0200 |
|---|---|---|
| committer | Prefetch | 2023-10-21 14:21:59 +0200 |
| commit | bd13537ee2fb704b02b961b5d06dd4f406f19a71 (patch) | |
| tree | 03b525ead00b8b6ae46af8f5f6eee67dab713a27 /source/know/concept/boltzmann-equation/index.md | |
| parent | fc85814ec669f8158179e8ed16ff45d73e236dac (diff) | |
Improve knowledge base
Diffstat (limited to 'source/know/concept/boltzmann-equation/index.md')
| -rw-r--r-- | source/know/concept/boltzmann-equation/index.md | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/source/know/concept/boltzmann-equation/index.md b/source/know/concept/boltzmann-equation/index.md index 9cb3bcd..5f4add0 100644 --- a/source/know/concept/boltzmann-equation/index.md +++ b/source/know/concept/boltzmann-equation/index.md @@ -65,7 +65,7 @@ But what about the collision term? Expressions for it exist, which are almost exact in many cases, but unfortunately also quite difficult to work with. In addition, $$f$$ is a 7-dimensional function, -so the BTE is already hard to solve without collisions. +so the BTE is already hard to solve without collisions! We only present the simplest case, known as the **Bhatnagar-Gross-Krook approximation**: if the equilibrium state $$f_0(\vb{r}, \vb{v})$$ is known, @@ -314,7 +314,7 @@ For the sake of clarity, we write out the pressure term, including the outer div $$\begin{aligned} \nabla \cdot (\vb{V} \cdot \hat{P}) - &= (\nabla \cdot \hat{P}{}^{\mathrm{T}}) \cdot \vb{V} + &= (\nabla \cdot \hat{P}{}^\top) \cdot \vb{V} = \nabla \cdot \begin{bmatrix} P_{xx} & P_{xy} & P_{xz} \\ |