Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave - Université Paris 8 Vincennes - Saint-Denis Access content directly
Preprints, Working Papers, ... Year : 2024

Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave

Abstract

In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and curvature of the interface over time when the fluid below is no denser than the one above. These phenomena, known as Rayleigh-Taylor instability and Kelvin-Helmholtz instability, will be proved for a broad class of regular initial data, including the case of 2D overlapping interface.
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Dates and versions

hal-04572376 , version 1 (10-05-2024)

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  • HAL Id : hal-04572376 , version 1

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Haocheng Yang. Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave. 2024. ⟨hal-04572376⟩
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