Global weak solutions of the Serre-Green-Naghdi equations with surface tension

被引：0
|
作者：
Guelmame, Billel [1 ]
机构：
[1] Univ Cote Azur, LJAD, CNRS, INRIA, Av Valrose, F-06000 Nice, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2024年 / 41卷 / 03期
关键词：
Serre-Green-Naghdi equations; shallow water; surface tension; weak solutions; energy dissipation; CAPILLARY-GRAVITY WAVES; SHALLOW-WATER; BOUSSINESQ SYSTEM; WELL-POSEDNESS; EULER; REGULARIZATION; DERIVATION; EXISTENCE; LIMIT;
D O I：
10.4171/AIHPC/99
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider 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.
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页码：749 / 795
页数：47
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