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A conservation law with spatially localized sublinear damping

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Figure 1.1. Evolution of the solution for transport equation
Figure 4.1. Evolution of the solution (left) and of the characteristic curves (right) for Burgers flux
Figure 4.2. Discontinuity curves, Z region and times T ∗ and t ∗ .
Figure 5.1. Evolution of the solution for Buckley-Leverett flux f 1/4 BL with α = 0.75 (left) and α = 1 (right)
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