On approximate solutions of the incompressible Euler and Navier-Stokes equations

DOI10.1016/j.na.2011.10.020zbMath1236.35111arXiv1104.3832OpenAlexW1930217629MaRDI QIDQ412686

Livio Pizzocchero, Carlo Morosi

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3832

zbMATH Keywords

Navier-Stokes equationstheoretical approximationexistence and regularity theory

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

Large order Reynolds expansions for the Navier-Stokes equations ⋮ On the Reynolds number expansion for the Navier-Stokes equations ⋮ Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ 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 ⋮ On the global stability of smooth solutions of the Navier-Stokes equations ⋮ On approximate solutions of the equations of incompressible magnetohydrodynamics ⋮ Rigorous numerical verification of uniqueness and smoothness in a surface growth model

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