A Helmholtz-type decomposition for the space of symmetric matrices

DOI10.1090/btran/167zbMath1529.35337arXiv2111.12891OpenAlexW3216041587MaRDI QIDQ6179677

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Publication date: 18 December 2023

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12891

zbMATH Keywords

Helmholtz decompositionNavier-Stokes

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) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17) Blow-up in context of PDEs (35B44)

Cites Work

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• Is vortex stretching the main cause of the turbulent energy cascade?
• Well-posedness for the Navier-Stokes equations
• Finite-time blowup for a Navier-Stokes model equation for the self-amplification of strain

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