Regularity criteria for weak solutions to the Navier-Stokes equations in terms of spectral projections of vorticity and velocity

0562011 - MÚ 2023 RIV CH eng J - Článek v odborném periodiku
Neustupa, Jiří - Penel, P. - Yang, M.
Regularity criteria for weak solutions to the Navier-Stokes equations in terms of spectral projections of vorticity and velocity.
Journal of Mathematical Fluid Mechanics. Roč. 24, č. 4 (2022), č. článku 104. ISSN 1422-6928. E-ISSN 1422-6952
Grant CEP: GA ČR(CZ) GA22-01591S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equations * weak solution * regularity criteria * vorticity
Obor OECD: Pure mathematics
Impakt faktor: 1.3, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00021-022-00728-w

We deal with a weak solution v to the Navier-Stokes initial value problem in R-3 x (0, T), that satisfies the strong energy inequality. We impose conditions on certain spectral projections of omega:= curly or just v, and we prove the regularity of solution v. The spectral projection is defined by means of the spectral resolution of identity associated with the self-adjoint operator curl.
Trvalý link: https://hdl.handle.net/11104/0334441