Standing Waves in Near-Parallel Vortex Filaments-Reference-Cited by-同舟云学术

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Standing Waves in Near-Parallel Vortex Filaments

Published:2016-10-24 Issue:1 Volume:350 Page:175-203
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Craig Walter,García-Azpeitia Carlos,Yang Chi-Ru

Funder

NSERC

CONACyT

National Center for Theoretical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-016-2781-x.pdf

Reference23 articles.

1. Banica V., Miot E.: Global existence and collisions for symmetric configurations of nearly parallel vortex filaments. Ann. Inst. H. Poincaré Anal. Non Linéaire 29(5), 813–832 (2012)

2. Banica, V., Faou, E., Miot, E.: Collision of almost parallel vortex filaments. Commun. Pure Appl. Math. (2016) (to appear)

3. Bourgain J.: Construction of periodic solutions of nonlinear wave equations in higher dimension. Geom. Funct. Anal. 5(4), 629–639 (1995)

4. Berti, M., Bolle, P.: Quasi-periodic solutions with Sobolev regularity of NLS on T d with a multiplicative potential. J. Eur. Math. Soc. (JEMS) 15(1), 229–286, 103–122 (2013) [NATO Adv. Sci. Inst. Ser. B Phys., vol. 331. Plenum, New York (1994)]

5. Berti M., Corsi L., Procesi M.: An abstract Nash–Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Commun. Math. Phys. 334, 1413–1454 (2015)

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