Around the asymptotic properties of a two-dimensional parametrized Euler flow

DOI10.3934/DCDS.2024012MaRDI QIDQ6493892

Marc Briane

Publication date: 29 April 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansioninvariant measurefirst integralrotation set2D Euler flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Asymptotics of ODE's flow on the torus through a singleton condition and a perturbation result. Applications
• Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere
• Homogenization of ODE's in \(\mathbb {R}^N\)
• Which electric fields are realizable in conducting materials?
• Rotation Sets for Maps of Tori
• Homogenization of Two-Dimensional Linear Flows with Integral Invariance
• Convergence of solutions of linear transport equations
• Fine asymptotic expansion of the ODE's flow

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