On power series solutions for the Euler equation, and the Behr–Nečas–Wu initial datum

DOI10.1051/m2an/2012041zbMath1307.76068arXiv1203.6865OpenAlexW3104898853MaRDI QIDQ5299851

Livio Pizzocchero, Carlo Morosi, Mario Pernici

Publication date: 24 June 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6865

zbMATH Keywords

symbolic computationEuler equationblow-upexistence and regularity theory

Mathematics Subject Classification ID

Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

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Large order Reynolds expansions for the Navier-Stokes equations ⋮ On the Reynolds number expansion for the Navier-Stokes equations ⋮ Smooth solutions of the Euler and Navier-Stokes equations from the a posteriori analysis of approximate solutions ⋮ New results on the constants in some inequalities for the Navier-Stokes quadratic nonlinearity

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