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HASPOT , Boris

Last name: HASPOT

First name: Boris

March 29, 2022 (v1)

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Fractional BV solutions for $2 \times 2$ systems of conservation laws with a genuinely nonlinear field and a linearly degenerate field

Haspot, Boris Junca, Stéphane

The class of $2 \times 2$ nonlinear hyperbolic systems with one genuinely nonlinear field and one linearly degenerate field are considered. Existence of global weak solutions for small initial data in fractional $BV$ spaces $BV^s$ is proved. The exponent $s$ is related to the usual fractional Sobolev derivative. Riemann invariants $w$ and...

Uploaded on: December 3, 2022