21 citations · 112 across the 12 of their papers we have counts for
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astro-ph.SR2022★ 3 cited
Focusing of nonlinear eccentric waves in astrophysical discs. II. Excitation and damping of tightly-wound waves
Elliot M. Lynch
In this paper I develop a nonlinear theory of tightly-wound (highly twisted) eccentric waves in astrophysical discs, based on the averaged Lagrangian method of Whitham. Viscous dis…
astro-ph.SR2019★ 7 cited
Focusing of nonlinear eccentric waves in astrophysical discs
Elliot M. Lynch, Gordon I. Ogilvie
We develop a fully nonlinear approximation to the short-wavelength limit of eccentric waves in astrophysical discs, based on the averaged Lagrangian method of Whitham (1965). In th…
astro-ph.SR2018★ 21 cited
Hamiltonian hydrodynamics of eccentric discs
Gordon I. Ogilvie, Elliot M. Lynch
We show that the ideal hydrodynamics of an eccentric astrophysical disc can be derived from a variational principle. The nonlinear secular theory describes the slow evolution of a…