Work

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

Year: 2025

Type: article

Abstract: . In this paper, we analyze the dynamics of two layers of immiscible, inviscid, and incompressible potential 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, will be proved for a broad class of regular initial data, including the case of 2D overlapping interface.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/24m1660553

Author: Haocheng Yang

Institutions: École Normale Supérieure Paris-Saclay, Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, Centre Borelli

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4396822503

FWCI: 3.741

Cites: 58

Cited by: 2

Related to: 10