04-25
20241 Question 1 Consider the one-dimensional scalar hyperbolic conservation law ut + f (u)x = 0, (1) (I) when set f (u) = 2u, Eq. (1) can be written as ∂u ∂t + 2 ∂u ∂x = 0. (2) Solve it on the domain X × T = [0, 2] × (0, +∞) with the periodic boundary condition. And the initial condition is given as
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