Global well-posedness for the \(2\)-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces

DOI10.1007/s00205-021-01710-yzbMath1477.35114arXiv1908.02216OpenAlexW3202645763MaRDI QIDQ2665251

Guilong Gui, Hammadi Abidi

Publication date: 18 November 2021

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

Full work available at URL: https://arxiv.org/abs/1908.02216

zbMATH Keywords

incompressible Navier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Global unique solutions for the inhomogeneous Navier-Stokes equations with only bounded density, in critical regularity spaces ⋮ Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density ⋮ Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system ⋮ Global strong solution of 3D inhomogeneous incompressible Navier-Stokes equations with degenerate viscosity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness theorems for the three dimensional Navier-Stokes system
• An extension of the Beale-Kato-Majda criterion for the Euler equations
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity
• On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
• On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient
• Global existence for an inhomogeneous fluid
• The inviscid limit for density-dependent incompressible fluids
• Navier-Stokes equation with variable density and viscosity in critical space
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• 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
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Density-dependent incompressible viscous fluids in critical spaces
• The Incompressible Navier‐Stokes Equations in Vacuum

This page was built for publication: Global well-posedness for the \(2\)-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces