Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity

DOI10.5802/aif.2734zbMath1383.35160arXiv0902.1982OpenAlexW2263098063MaRDI QIDQ1931234

Boris Haspot

Publication date: 25 January 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1982

zbMATH Keywords

Littlewood-Paley theorylosing estimates for the transport equationNavier-Stokes equations Cauchy problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

Global well-posedness for the \(2\)-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces ⋮ On the well-posedness of 3-D inhomogeneous incompressible Navier-Stokes equations with variable viscosity ⋮ Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field ⋮ Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity ⋮ Existence of strong solutions in critical spaces for barotropic viscous fluids in larger spaces ⋮ Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces ⋮ Existence of global strong solutions in critical spaces for barotropic viscous fluids ⋮ Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density

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