Global well-posedness for 3D Navier–Stokes equations with ill-prepared initial data

DOI10.1017/S1474748013000212zbMath1291.35191MaRDI QIDQ5408723

Marius Paicu, Zhifei Zhang

Publication date: 11 April 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsCauchy problemglobal solutionlarge initial data

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30)

Related Items (12)

Almost global existence for the Prandtl boundary layer equations ⋮ Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data ⋮ Global small analytic solutions of MHD boundary layer equations ⋮ \(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations ⋮ Global existence and decay estimates of solutions for the compressible Prandtl type equations with small analytic data ⋮ On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class ⋮ Global regularity for solutions of the three dimensional Navier–Stokes equation with almost two dimensional initial data ⋮ Vanishing viscosity limit of the 3D incompressible Oldroyd-B model ⋮ Global existence and the decay of solutions to the Prandtl system with small analytic data ⋮ Long time well-posedness of Prandtl system with small and analytic initial data ⋮ GLOBAL REGULARITY TO THE NAVIER-STOKES EQUATIONS FOR A CLASS OF LARGE INITIAL DATA ⋮ On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

Cites Work

• On the stability in weak topology of the set of global solutions to the Navier-Stokes equations
• Global regularity for the Navier-Stokes equations with some classes of large initial data
• Global regularity for some classes of large solutions to the Navier-Stokes equations
• Analyticity of solutions for a generalized Euler equation
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Wellposedness and stability results for the Navier-Stokes equations in \(\mathbb R^3\)
• Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
• Fluids with anisotropic viscosity

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