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Weak solutions to Friedrichs systems with convex constraints

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Figure

Figure 1: Initial condition
Figure 2: Numerical solution u at times t = 0.2 (top) and t = 0.4 (bottom). On both pictures we compare the constrained solution (bold line in red) and the unconstrained solution (thin line in green).
Figure 3: Numerical solution v at times t = 0.2 (top) and t = 0.4 (bottom). On both pictures we compare the constrained solution (bold line in red) and the unconstrained solution (thin line in green).
Figure 4: Phase diagram u, v at times t = 0.2 (top) and t = 0.4 (bottom).
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