Well-posedness of Whitham-Broer-Kaup equation with negative dispersion

Nonlinear Differential Equations and Applications NoDEA（2024）

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摘要

In this work, we discuss the well-posedness of Whitham-Broer-Kaup equation with negative dispersion term. A symmetrizer is built, then we prove the existence and uniqueness of a solution using the vanishing viscosity method.

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关键词

WBK equation,Symmetrization,Vanishing viscosity,Dispersion,Hyperbolic system

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