Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system
From MaRDI portal
Publication:2295478
DOI10.1016/j.aim.2020.107007zbMath1434.35071arXiv1806.03612OpenAlexW3003635760MaRDI QIDQ2295478
Publication date: 13 February 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.03612
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)
Related Items (11)
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative ⋮ Maximal \(L^1\) regularity for solutions to inhomogeneous incompressible Navier-Stokes equations ⋮ Global well-posedness for 3D incompressible inhomogeneous asymmetric fluids with density-dependent viscosity ⋮ Global Solutions of 3-D Inhomogeneous Navier-Stokes System with Large Viscosity in One Variable ⋮ Global unique solutions for the inhomogeneous Navier-Stokes equations with only bounded density, in critical regularity spaces ⋮ Global existence of weak solutions for 3D incompressible inhomogeneous asymmetric fluids ⋮ Global solutions for two-dimensional viscous pressureless flows with large variations of density ⋮ Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative ⋮ The global solvability of 3-d inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density ⋮ Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density ⋮ Rigorous numerical inclusion of the blow-up time for the Fujita-type equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow
- Fujita-Kato theorem for the 3-D inhomogeneous Navier-Stokes equations
- 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
- Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density
- Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
- Global regularity of 2D density patches for inhomogeneous Navier-Stokes
- Incompressible viscous flows in borderline Besov spaces
- A nonlinear estimate of the life span of solutions of the three dimensional Navier-Stokes equations
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Incompressible flows with piecewise constant density
- On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations
- On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
- Global existence for an inhomogeneous fluid
- On the Navier-Stokes initial value problem. I
- 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
- Fourier Analysis and Nonlinear Partial Differential Equations
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Density-dependent incompressible viscous fluids in critical spaces
- Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case
- Global Regularity of 2-D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: High Regularity Case
- The Incompressible Navier‐Stokes Equations in Vacuum
This page was built for publication: Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system
