Publications

@article{perrellaExistenceGlobalSymmetries2023,

title = {Existence of Global Symmetries of Divergence-Free Fields with First Integrals},

author = {David Perrella and Nathan Duignan and David Pfefferl\'{e}},

doi = {10.1063/5.0152213},

issn = {0022-2488},

year  = {2023},

date = {2023-05-01},

urldate = {2023-05-01},

journal = {Journal of Mathematical Physics},

volume = {64},

number = {5},

pages = {052705},

keywords = {differential geometry, flux-surfaces, MHD equilibrium, noether theorem, quasi-symmetry},

pubstate = {published},

tppubtype = {article}

}

@article{perrellaRectifiabilityDivergencefreeFields2022,

title = {Rectifiability of Divergence-Free Fields along Invariant 2-Tori},

author = {David Perrella and David Pfefferl\'{e} and Luchezar Stoyanov},

doi = {10.1007/s42985-022-00182-3},

issn = {2662-2971},

year  = {2022},

date = {2022-07-01},

urldate = {2022-07-01},

journal = {Partial Differential Equations and Applications},

volume = {3},

number = {4},

pages = {50},

keywords = {cohomology, differential geometry, flux-surfaces, magnetic coordinates, MHD equilibrium, rotational transform},

pubstate = {published},

tppubtype = {article}

}