Global mild solution of the generalized Navier-Stokes equations with the Coriolis force

DOI10.1016/j.aml.2017.09.001zbMath1379.35218OpenAlexW2754300880MaRDI QIDQ1680036

Gang Wu, Wei Hua Wang

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.09.001

zbMATH Keywords

Coriolis forceNavier-Stokes equationsincompressiblefractional Navier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Fractional partial differential equations (35R11)

Related Items (8)

Global mild solution of stochastic generalized Navier-Stokes equations with Coriolis force ⋮ Global well-posedness of the 3D generalized rotating magnetohydrodynamics equations ⋮ Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces ⋮ Global well-posedness for the Navier-Stokes equations with the Coriolis force in function spaces characterized by semigroups ⋮ Global well-posedness and analyticity for the 3D fractional magnetohydrodynamics equations in variable Fourier-Besov spaces ⋮ Global existence and analyticity of mild solutions for the stochastic Navier-Stokes-Coriolis equations in Besov spaces ⋮ Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type ⋮ Well-posedness for stochastic fractional Navier-Stokes equation in the critical Fourier-Besov space

Cites Work

• Global solutions for the Navier-Stokes equations in the rotational framework
• The generalized incompressible Navier-Stokes equations in Besov spaces
• Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework
• Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
• 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
• Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
• Global mild solutions of Navier‐Stokes equations
• Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
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