4. Consider the initial value problem +(1-3u²)u, = 0, Find the equations of the characteristics and plot several characteristics on the same graph. Calculate the breaking time t, and where the shock starts. u(x,0) = 1²¹ ZER, t>0. 1+z2

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4. Consider the initial value problem
u + (1 – 3u²)u, = 0,
u(x,0)
x € R, t>0.
%3D
1+z2
Find the equations of the characteristics and plot several characteristics on the
same graph. Calculate the breaking time t and where the shock starts.
Transcribed Image Text:4. Consider the initial value problem u + (1 – 3u²)u, = 0, u(x,0) x € R, t>0. %3D 1+z2 Find the equations of the characteristics and plot several characteristics on the same graph. Calculate the breaking time t and where the shock starts.
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