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arXiv · 2303.08640

Global conservative weak solutions for a class of nonlinear dispersive wave equations beyond wave breaking

Yonghui Zhou·Shuguan Ji
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Abstract

In this paper, we study the global conservative weak solutions for a class of nonlinear dispersive wave equations after wave breaking. We first transform the equations into an equivalent semi-linear system by introducing new variables. We then establish the global existence of solutions for the semi-linear system by using the standard theory of ordinary differential equations. Finally, returning to the original variables, we obtain the global conservative weak solutions for the original equations.

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Yonghui Zhou, Shuguan Ji. 2023-03-15. Global conservative weak solutions for a class of nonlinear dispersive wave equations beyond wave breaking. https://arxiv.org/abs/2303.08640

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