Calculus of Variations and Geometric Measure Theory

G. M. Coclite - N. De Nitti

On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws

created by denitti on 25 Apr 2024

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Inserted: 25 apr 2024
Last Updated: 25 apr 2024

Year: 2024

Abstract:

We revisit the proof of the existence of the (unique) admissible solution to a class of non-strictly hyperbolic $2 \times 2$ system of conservation laws with triangular structure. We show that this solution can be obtained as the limit of the one of a nonlocal system (involving a convolution term) when the kernel tends to a Dirac delta.


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