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Mathematical aspects of three-dimensional water waves with vorticity

Publications

On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field: Global well-posedness and stability of confined steady states

Author(s): Patrik Knopf, Jörg Weber
Published in: Nonlinear Analysis: Real World Applications, 65, 2022, Page(s) 1-25, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103460

Traveling water waves -- the ebb and flow of two centuries

Author(s): Haziot, Susanna V.; Hur, Vera Mikyoung; Strauss, Walter; Toland, J. F.; Wahlén, Erik; Walsh, Samuel; Wheeler, Miles H.
Published in: Quarterly of Applied Mathematics, 80/2, 2022, Page(s) 317-401, ISSN 0033-569X
Publisher: Brown University
DOI: 10.1090/qam/1614

An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity

Author(s): E. Lokharu, D. S. Seth, E. Wahlén
Published in: Archive for Rational Mechanics and Analysis, 238/2, 2020, Page(s) 607-637, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01550-2

Steady three-dimensional ideal flows with nonvanishing vorticity in domains with edges

Author(s): Douglas Svensson Seth
Published in: Journal of Differential Equations, 274, 2021, Page(s) 345-381, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.11.034

Steady three-dimensional rotational flows : an approach via two stream functions and Nash–Moser iteration

Author(s): Boris Buffoni, Erik Wahlén
Published in: Analysis & PDE, 12/5, 2019, Page(s) 1225-1258, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2019.12.1225

A variational principle for three-dimensional water waves over Beltrami flows

Author(s): E. Lokharu, E. Wahlén
Published in: Nonlinear Analysis, 184, 2019, Page(s) 193-209, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2019.01.028