From cc391ce3b9867d88d124e147931d33be34e756fc Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Mon, 14 Sep 2026 18:11:38 +0200
Subject: Improve knowledge base

---
 source/know/concept/grad-shafranov-equation/index.md | 13 +++++++------
 1 file changed, 7 insertions(+), 6 deletions(-)

(limited to 'source/know/concept/grad-shafranov-equation')

diff --git a/source/know/concept/grad-shafranov-equation/index.md b/source/know/concept/grad-shafranov-equation/index.md
index b86c032..c9104d2 100644
--- a/source/know/concept/grad-shafranov-equation/index.md
+++ b/source/know/concept/grad-shafranov-equation/index.md
@@ -36,9 +36,9 @@ $$\begin{aligned}
     = 0
 \end{aligned}$$
 
-Notice that $$\vb{E} = 0$$ is a result of the ideal generalized Ohm's law.
-Under these assumptions, the relevant MHD equations to be solved are
-Gauss' law for magnetism, Ampère's law, and the MHD momentum equation, respectively:
+Notice that $$\vb{E} = 0$$ is a result of ideal MHD's generalized Ohm's law.
+Under these assumptions, the relevant equations to be solved are
+Gauss' law for magnetism, Ampère's law, and the momentum equation of MHD, respectively:
 
 $$\begin{aligned}
     0
@@ -51,11 +51,12 @@ $$\begin{aligned}
     = \vb{J} \cross \vb{B}
 \end{aligned}$$
 
-The goal is to analyze them in this order,
+The idea is to analyze them in this order,
 exploiting toroidal symmetry along the way,
 to arrive at a general equilibrium condition.
-[Cylindrical polar coordinates](/know/concept/cylindrical-polar-coordinates/) $$(r, \theta, z)$$
-are a natural choice, with the $$z$$-axis running through the middle of the torus.
+[Cylindrical polar coordinates](/know/concept/cylindrical-polar-coordinates/)
+$$(r, \theta, z)$$ are a natural choice,
+with the $$z$$-axis running through the middle of the torus.
 
 As preparation, it is a good idea to write $$\vb{B}$$
 as the curl of a magnetic vector potential $$\vb{A}$$,
-- 
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