On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

DOI10.1515/math-2023-0170MaRDI QIDQ6611519

Gaoting Xu, Xiaochun Sun, Yulian Wu

Publication date: 26 September 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

Coriolis forceexistenceNavier-Stokes equationsblow-up criterionLei-Lin-Gevrey spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solutions for the Navier-Stokes equations in the rotational framework
• Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
• The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework
• Smooth or singular solutions to the Navier-Stokes system?
• Global regularity of 3D rotating Navier-Stokes equations for resonant domains
• Global mild solution of stochastic generalized Navier-Stokes equations with Coriolis force
• Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces
• Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces
• On the generalized Magnetohydrodynamics-\(\alpha\) equations with fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces
• Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
• Uniqueness of weak solutions for fractional Navier-Stokes equations
• On local existence, uniqueness and blow-up of solutions for the generalized MHD equations in Lei-Lin spaces
• Long time decay for 3D Navier-Stokes equations in Fourier-Lei-Lin spaces
• Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations
• Uniqueness of the weak solution to the fractional anisotropic Navier‐Stokes equations
• New blow‐up criteria for local solutions of the 3D generalized MHD equations in Lei–Lin–Gevrey spaces

This page was built for publication: On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces