The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary

DOI10.1007/s00205-018-1231-7zbMath1412.35234arXiv1611.09993OpenAlexW2558094654WikidataQ115609091 ScholiaQ115609091MaRDI QIDQ1661663

Stephen C. Preston, Gerard Misiołek, James Benn

Publication date: 16 August 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09993

zbMATH Keywords

exponential mapincompressible Euler equationscompact Riemannian manifoldFredholm mapJacobi field solution operatorvolumorphism

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global Riemannian geometry, including pinching (53C20) Free boundary problems for PDEs (35R35) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (2)

Existence of a conjugate point in the incompressible Euler flow on an ellipsoid ⋮ Conjugate points in \(\mathcal{D}_\mu^s(S^2)\)

Cites Work

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