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Arnold's Trivium
1991 Arnold's Trivium
76
Problem 76
Problem 76
Source:
July 1, 2010
trigonometry
probability
function
integration
Problem Statement
Investigate the behaviour at
t
→
∞
t\to\infty
t
→
∞
of the solution of the problem
u
t
+
(
u
sin
x
)
x
=
ϵ
u
x
x
,
u
∣
t
=
0
=
1
,
ϵ
≪
1
u_t+(u\sin x)_x=\epsilon u_{xx},\;u|_{t=0}=1,\;\epsilon\ll1
u
t
+
(
u
sin
x
)
x
=
ϵ
u
xx
,
u
∣
t
=
0
=
1
,
ϵ
≪
1
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