On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow

DOI10.1007/s00205-015-0945-zzbMath1336.35276arXiv1503.04898OpenAlexW3106108418MaRDI QIDQ266969

Xian Liao, Ping Zhang

Publication date: 7 April 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04898

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (15)

Global regularity of density patch for the 3D inhomogeneous Navier-Stokes equations ⋮ On the striated regularity for the 2D anisotropic Boussinesq system ⋮ Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System ⋮ Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity ⋮ Global regularity of 2D Navier-Stokes free boundary with small viscosity contrast ⋮ On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity ⋮ Global persistence of geometrical structures for the Boussinesq equation with no diffusion ⋮ Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows ⋮ Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability ⋮ On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations ⋮ Splash singularities for the free boundary Navier-Stokes equations ⋮ Global regularity of three-dimensional density patches for inhomogeneous incompressible viscous flow ⋮ Global regularity of 2D density patches for inhomogeneous Navier-Stokes ⋮ Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system ⋮ A well-posedness result for viscous compressible fluids with only bounded density

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