The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces

DOI10.3233/ASY-151290zbMath1326.35268arXiv1403.0960OpenAlexW2101221617MaRDI QIDQ3195300

Francesco Fanelli, Xian Liao

Publication date: 16 October 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0960

zbMATH Keywords

well-posednessBesov spaceslifespancontinuation criterionzero-Mach number systemChemin-Lerner spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (1)

Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data

Cites Work

• The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the motion of non-homogeneous fluids in the presence of diffusion
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• The incompressible limit and the initial layer of the compressible Euler equation
• On the Euler equations for nonhomogeneous fluids. II
• The motion of slightly compressible fluids viewed as a motion with strong constraining force
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• A global existence result for a zero Mach number system
• Low Mach number limit of the full Navier-Stokes equations
• Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
• Singular limits for the compressible Euler equation in an exterior domain.
• Compressible and incompressible fluids
• The incompressible limit of the non-isentropic Euler equations

This page was built for publication: The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces