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Global weak solutions of the Serre-Green-Naghdi equations with surface tension by Guelmame, Billel is a scholarly article available to read on EtoBox.

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We consider in this paper the Serre--Green--Naghdi equations with surface tension. Smooth solutions of this system conserve an $H^1$-equivalent energy. We prove the existence of global weak dissipative solutions for any relatively small-energy initial data. We also prove that the Riemann invariants of the solutions satisfy a one-sided Oleinik inequality.

Author

Guelmame, Billel

Published

2024

Language

EN