Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations

DOI10.1016/j.anihpc.2015.07.002zbMath1353.35233arXiv1504.00727OpenAlexW3104327022MaRDI QIDQ342600

Peter Constantin, Igor Kukavica, Vlad C. Vicol

Publication date: 17 November 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00727

zbMATH Keywords

Euler equationsGevrey classanalyticityLagrangian and Eulerian coordinates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Viscous-inviscid interaction (76D09)

Related Items

WKB analysis of the logarithmic nonlinear Schrödinger equation in an analytic framework ⋮ Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations ⋮ Mechanisms of Lagrangian analyticity in fluids ⋮ Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Construction of maximal functions associated with skewed cylinders generated by incompressible flows and applications ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk ⋮ On the Lagrangian and Eulerian analyticity for the Euler equations ⋮ A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain ⋮ Nonuniqueness of weak solutions for the transport equation at critical space regularity ⋮ Two examples on the property of the noise in the systems of equations of fluid mechanics ⋮ Conjugate and cut points in ideal fluid motion

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