On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations

DOI10.5802/jep.56zbMath1430.35186arXiv1612.00282OpenAlexW4298884739MaRDI QIDQ2011997

Raphaël Danchin, Xin Zhang

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00282

zbMATH Keywords

inhomogeneous Navier-Stokes equationsstriated regularitydensity patch

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 (13)

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 ⋮ Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density ⋮ The vortex patch issue for the generalized Boussinesq system ⋮ On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity ⋮ Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows ⋮ Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability ⋮ 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

Cites Work

• Unnamed Item
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• Unnamed Item
• On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow
• Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
• Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density
• Global regularity of 2D density patches for inhomogeneous Navier-Stokes
• Ordinary differential equations, transport theory and Sobolev spaces
• Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
• Uniqueness theorems for the three dimensional Navier-Stokes system
• Incompressible flows with piecewise constant density
• Global existence for an inhomogeneous fluid
• Navier-Stokes equation with variable density and viscosity in critical space
• Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
• A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
• Global persistence of geometrical structures for the Boussinesq equation with no diffusion
• Fourier Analysis and Nonlinear Partial Differential Equations
• Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
• Critical functional framework and maximal regularity in action on systems of incompressible flows
• The Navier-Stokes Problem in the 21st Century
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Density-dependent incompressible viscous fluids in critical spaces
• Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque

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