Renormalization and existence of finite-time blow-up solutions for a one-dimensional analogue of the Navier-Stokes equations

DOI10.1137/23m1551481zbMath1543.35136MaRDI QIDQ6571358

Denis G. Gaidashev, Alejandro Luque

Publication date: 12 July 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsrenormalizationblow-upsgeostrophic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Renormalization and other field-theoretical methods for turbulence (76F30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) Integro-partial differential equations (35R09)

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