Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations

DOI10.1007/s00220-017-3063-yzbMath1397.35192arXiv1605.06626OpenAlexW2396013817MaRDI QIDQ1637289

David Poyato, Juan Soler, Alberto Enciso

Publication date: 7 June 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06626

zbMATH Keywords

Euler equationsvortex structuresstability resultsgeneralized Beltrami fields

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Boundary element methods applied to problems in fluid mechanics (76M15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Turbulent transport, mixing (76F25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) First-order elliptic systems (35J46) Euler equations (35Q31)

Related Items (7)

Biquaternionic treatment of inhomogeneous time-harmonic Maxwell's equations over unbounded domains ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ Local representation and construction of Beltrami fields ⋮ Boundary value problems for two dimensional steady incompressible fluids ⋮ Beltrami fields with nonconstant proportionality factor ⋮ Stability inequalities involving gravity norm and temperature ⋮ An improved Liouville type theorem for Beltrami flows

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