123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134 |
- @book {Lannes,
- AUTHOR = {Lannes, David},
- TITLE = {The Water Waves Problem: Mathematical Analysis and Asymptotics},
- SERIES = {Mathematical Surveys and Monographs},
- PUBLISHER = {American Mathematical Society},
- ADDRESS = {Providence, RI},
- YEAR = {2013},
- ISBN = {9780821894705},
- }
- @article {HJ2,
- AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
- TITLE = {Modulational instability in the {W}hitham equation for water waves},
- JOURNAL = {Stud. Appl. Math.},
- FJOURNAL = {Studies in Applied Mathematics},
- VOLUME = {134},
- YEAR = {2015},
- NUMBER = {1},
- PAGES = {120--143},
- ISSN = {0022-2526},
- MRCLASS = {35Q53 (35B10 35C07)},
- MRNUMBER = {3298879},
- MRREVIEWER = {Thierry Cazenave},
- }
- @article {BF,
- AUTHOR = {Benjamin, T. B. and Feir, J. E.},
- TITLE = {The disintegration of wave trains on deep water. {P}art 1. {T}heory},
- JOURNAL = {J. Fluid Mech.},
- FJOURNAL = {Journal of Fluid Mechanics},
- VOLUME = {27},
- YEAR = {1967},
- NUMBER = {3},
- PAGES = {417--437},
- ISSN = {0022-1120},
- }
- @article{Benjamin1967,
- AUTHOR={Benjamin, T. Brooke and Hasselmann, K},
- TITLE={Instability of Periodic Wavetrains in Nonlinear Dispersive Systems [and Discussion]},
- JOURNAL = {Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.},
- FJOURNAL = {Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences},
- VOLUME={299},
- YEAR={1967},
- NUMBER={1456},
- PAGES={59--76},
- ISSN = {1364-5021}
- }
- @article {HJ3,
- AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
- TITLE = {Modulational instability in the {W}hitham equation with surface tension and vorticity},
- JOURNAL = {Nonlinear Anal.},
- FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods},
- VOLUME = {129},
- YEAR = {2015},
- PAGES = {104--118},
- ISSN = {0362-546X},
- MRCLASS = {Preliminary Data},
- MRNUMBER = {3414922},
- }
- @article{HP2,
- AUTHOR={Hur, Vera Mikyoung and Pandey, Ashish Kumar},
- TITLE={Modulational instability in a shallow water model},
- JOURNAL={Preprint},
- PAGES={1608.04685},
- YEAR={2016}
- }
- @incollection{BHJ,
- AUTHOR={Bronski, Jared C. and Hur, Vera Mikyoung and Johnson, Mathew A.},
- TITLE={Modulational instability in equations of {K}d{V} type},
- BOOKTITLE={New Approaches to Nonlinear Waves},
- EDITORS={Tobiscnh, Elena},
- SERIES={Lecture Notes in Physics},
- VOLUME={908},
- YEAR={2016},
- PAGES={83--133},
- PUBLISHER={Springer International Publishing},
- ADDRESS={Berlin, Germany}
- }
- @book {K,
- AUTHOR = {Kato, Tosio},
- TITLE = {Perturbation theory for linear operators},
- EDITION = {Second},
- NOTE = {Grundlehren der Mathematischen Wissenschaften, Band 132},
- PUBLISHER = {Springer-Verlag, Berlin-New York},
- YEAR = {1976},
- PAGES = {xxi+619},
- MRCLASS = {47-XX},
- MRNUMBER = {0407617 (53 \#11389)},
- }
- @article{Hur-blowup,
- AUTHOR = {Hur, Vera Mikyoung},
- TITLE = {On the formation of singularities for surface water waves},
- JOURNAL = {Commun. Pure Appl. Anal.},
- FJOURNAL = {Communications on Pure and Applied Analysis},
- VOLUME = {11},
- YEAR = {2012},
- NUMBER = {4},
- PAGES = {1465--1474},
- ISSN = {1534-0392},
- MRCLASS = {35R11 (35B44 35Q53 35R37 76B15)},
- MRNUMBER = {2900797},
- MRREVIEWER = {Francesco Petitta},
- }
- @article{Hur-breaking,
- AUTHOR = {Hur, Vera Mikyoung},
- TITLE={Wave breaking in the {W}hitham equation for shallow water},
- JOURNAL={Preprint},
- PAGES={arxiv:1506.04075},
- YEAR={2015}
- }
- @article{BJ1,
- AUTHOR = {Bronski, Jared C. and Johnson, Mathew A.},
- TITLE = {The modulational instability for a generalized {K}orteweg-de {V}ries equation},
- JOURNAL = {Arch. Ration. Mech. Anal.},
- FJOURNAL = {Archive for Rational Mechanics and Analysis},
- VOLUME = {197},
- YEAR = {2010},
- NUMBER = {2},
- PAGES = {357--400},
- ISSN = {0003-9527},
- MRCLASS = {35Q53 (35B10 35B35 35C07 76B25)},
- MRNUMBER = {2660515 (2012f:35456)},
- MRREVIEWER = {John Albert},
- }
|