A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations-Reference-Cited by-同舟云学术

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A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations

Published:2021-12-30 Issue:1 Volume:32 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Bauer Martin^ORCID,Lu Yuxiu,Maor Cy

Funder

Directorate for Mathematical and Physical Sciences

Israel Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s00332-021-09775-5.pdf

Reference28 articles.

1. Arnold, V.: Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Annales de l’institut Fourier 16(1), 319–361 (1966)

2. Arnold, V.I., Khesin, B.A.: Topological Methods in Hydrodynamics, vol. 125. Springer, Berlin (1999)

3. Bauer, M., Maor, C.: Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics. to appear in Calc. Var. and PDEs (2020)

4. Bauer, M., Bruveris, M., Michor, P.W.: Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. J. Nonlinear Sci. 24(5), 769–808 (2014a)

5. Bauer, M., Bruveris, M., Michor, P.W.: Overview of the geometries of shape spaces and diffeomorphism groups. J. Math. Imaging Vis. 50(1–2), 60–97 (2014b)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections;Calculus of Variations and Partial Differential Equations;2024-02-10

2. Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations;Journal of Nonlinear Science;2023-06-29

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