On the universality of the incompressible Euler equation on compact manifolds

DOI10.3934/dcds.2018064zbMath1397.35193arXiv1707.07807OpenAlexW2963301429MaRDI QIDQ1661018

Terence C. Tao

Publication date: 16 August 2018

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

Full work available at URL: https://arxiv.org/abs/1707.07807

zbMATH Keywords

embeddingEuler equationRiemannian manifoldsuniversalityquadratic ODE

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Incompressible inviscid fluids (76B99) Euler equations (35Q31)

Related Items (10)

Chaos in the incompressible Euler equation on manifolds of high dimension ⋮ Looking at Euler flows through a contact mirror: universality and undecidability ⋮ Universality of Euler flows and flexibility of Reeb embeddings ⋮ An h$h$‐principle for embeddings transverse to a contact structure ⋮ Geometric hydrodynamics in open problems ⋮ Steady Euler flows on \({\mathbb{R}}^3\) with wild and universal dynamics ⋮ Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher ⋮ Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\) ⋮ Excitable media store and transfer complicated information via topological defect motion ⋮ Computability and Beltrami fields in Euclidean space

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