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Euler-Lagrange equations for two fields
ID: euler-lagrange-equations-for-two-fields
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Euler-Lagrange equations for two fields
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
L
[
u
,
v
]
=
∬
f
(
x
,
y
,
u
,
v
,
u
x
,
u
y
,
v
x
,
v
y
)
d
x
d
y
,
(1)
independent
variations
and
integration by parts
give
f
u
−
∂
x
f
u
x
−
∂
y
f
u
y
=
0
,
f
v
−
∂
x
f
v
x
−
∂
y
f
v
y
=
0.
(2)
Total
articles
:
1
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