Theoretical study of an abstract bubble vibration model

DOI10.4171/ZAA/1472zbMath1262.35176OpenAlexW2054193152MaRDI QIDQ1940973

Stéphane Dellacherie, Yohan Penel, Olivier Lafitte

Publication date: 11 March 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1472

zbMATH Keywords

uniquenesshyperbolic-elliptic systemshort time existencediphasic low Mach number flowexplicit formula of the mean value

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Mixed-type systems of PDEs (35M30)

Related Items (5)

A nonlinear transport problem of hyperbolic-elliptic type ⋮ Remarks on a nonlinear transport problem ⋮ Simulations of non homogeneous viscous flows with incompressibility constraints ⋮ Well-posedness of a low Mach number system ⋮ Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods

Cites Work

• Existence of global solutions to the 1D abstract bubble vibration model.
• A mathematical introduction to fluid mechanics
• The semiclassical regime for ablation front models
• Numerical resolution of a potential diphasic low Mach number system
• Ordinary differential equations, transport theory and Sobolev spaces
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
• Elements of the analysis for the study of certain models of turbulence of viscous incompressible fluids.
• On functions of bounded mean oscillation
• Well-posedness of the nonlinear equations for zero mach number combustion
• On a diphasic low mach number system
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