A NEW CONTINUATION PRINCIPLE FOR THE NAVIER–STOKES EQUATIONS

DOI10.1142/S1793557111000472zbMath1244.35109OpenAlexW2014744758MaRDI QIDQ2892238

Xiao-chun Chen, Saddek Gala

Publication date: 18 June 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557111000472

zbMATH Keywords

Navier-Stokes equationsa priori estimatesregularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)

Cites Work

• The Schrödinger operator on the energy space: Boundedness and compactness criteria
• A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Notes on the asymptotically self-similar singularitiesin the Euler and the Navier-Stokes equations
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• The form boundedness criterion for the relativistic Schrödinger operator
• Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations
• Multipliers between Sobolev spaces and fractional differentiation
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Interpolation inequalities in Besov spaces

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