sample.bib 3.8 KB

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  1. @book {Lannes,
  2. AUTHOR = {Lannes, David},
  3. TITLE = {The Water Waves Problem: Mathematical Analysis and Asymptotics},
  4. SERIES = {Mathematical Surveys and Monographs},
  5. PUBLISHER = {American Mathematical Society},
  6. ADDRESS = {Providence, RI},
  7. YEAR = {2013},
  8. ISBN = {9780821894705},
  9. }
  10. @article {HJ2,
  11. AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
  12. TITLE = {Modulational instability in the {W}hitham equation for water waves},
  13. JOURNAL = {Stud. Appl. Math.},
  14. FJOURNAL = {Studies in Applied Mathematics},
  15. VOLUME = {134},
  16. YEAR = {2015},
  17. NUMBER = {1},
  18. PAGES = {120--143},
  19. ISSN = {0022-2526},
  20. MRCLASS = {35Q53 (35B10 35C07)},
  21. MRNUMBER = {3298879},
  22. MRREVIEWER = {Thierry Cazenave},
  23. }
  24. @article {BF,
  25. AUTHOR = {Benjamin, T. B. and Feir, J. E.},
  26. TITLE = {The disintegration of wave trains on deep water. {P}art 1. {T}heory},
  27. JOURNAL = {J. Fluid Mech.},
  28. FJOURNAL = {Journal of Fluid Mechanics},
  29. VOLUME = {27},
  30. YEAR = {1967},
  31. NUMBER = {3},
  32. PAGES = {417--437},
  33. ISSN = {0022-1120},
  34. }
  35. @article{Benjamin1967,
  36. AUTHOR={Benjamin, T. Brooke and Hasselmann, K},
  37. TITLE={Instability of Periodic Wavetrains in Nonlinear Dispersive Systems [and Discussion]},
  38. JOURNAL = {Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.},
  39. FJOURNAL = {Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences},
  40. VOLUME={299},
  41. YEAR={1967},
  42. NUMBER={1456},
  43. PAGES={59--76},
  44. ISSN = {1364-5021}
  45. }
  46. @article {HJ3,
  47. AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
  48. TITLE = {Modulational instability in the {W}hitham equation with surface tension and vorticity},
  49. JOURNAL = {Nonlinear Anal.},
  50. FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods},
  51. VOLUME = {129},
  52. YEAR = {2015},
  53. PAGES = {104--118},
  54. ISSN = {0362-546X},
  55. MRCLASS = {Preliminary Data},
  56. MRNUMBER = {3414922},
  57. }
  58. @article{HP2,
  59. AUTHOR={Hur, Vera Mikyoung and Pandey, Ashish Kumar},
  60. TITLE={Modulational instability in a shallow water model},
  61. JOURNAL={Preprint},
  62. PAGES={1608.04685},
  63. YEAR={2016}
  64. }
  65. @incollection{BHJ,
  66. AUTHOR={Bronski, Jared C. and Hur, Vera Mikyoung and Johnson, Mathew A.},
  67. TITLE={Modulational instability in equations of {K}d{V} type},
  68. BOOKTITLE={New Approaches to Nonlinear Waves},
  69. EDITORS={Tobiscnh, Elena},
  70. SERIES={Lecture Notes in Physics},
  71. VOLUME={908},
  72. YEAR={2016},
  73. PAGES={83--133},
  74. PUBLISHER={Springer International Publishing},
  75. ADDRESS={Berlin, Germany}
  76. }
  77. @book {K,
  78. AUTHOR = {Kato, Tosio},
  79. TITLE = {Perturbation theory for linear operators},
  80. EDITION = {Second},
  81. NOTE = {Grundlehren der Mathematischen Wissenschaften, Band 132},
  82. PUBLISHER = {Springer-Verlag, Berlin-New York},
  83. YEAR = {1976},
  84. PAGES = {xxi+619},
  85. MRCLASS = {47-XX},
  86. MRNUMBER = {0407617 (53 \#11389)},
  87. }
  88. @article{Hur-blowup,
  89. AUTHOR = {Hur, Vera Mikyoung},
  90. TITLE = {On the formation of singularities for surface water waves},
  91. JOURNAL = {Commun. Pure Appl. Anal.},
  92. FJOURNAL = {Communications on Pure and Applied Analysis},
  93. VOLUME = {11},
  94. YEAR = {2012},
  95. NUMBER = {4},
  96. PAGES = {1465--1474},
  97. ISSN = {1534-0392},
  98. MRCLASS = {35R11 (35B44 35Q53 35R37 76B15)},
  99. MRNUMBER = {2900797},
  100. MRREVIEWER = {Francesco Petitta},
  101. }
  102. @article{Hur-breaking,
  103. AUTHOR = {Hur, Vera Mikyoung},
  104. TITLE={Wave breaking in the {W}hitham equation for shallow water},
  105. JOURNAL={Preprint},
  106. PAGES={arxiv:1506.04075},
  107. YEAR={2015}
  108. }
  109. @article{BJ1,
  110. AUTHOR = {Bronski, Jared C. and Johnson, Mathew A.},
  111. TITLE = {The modulational instability for a generalized {K}orteweg-de {V}ries equation},
  112. JOURNAL = {Arch. Ration. Mech. Anal.},
  113. FJOURNAL = {Archive for Rational Mechanics and Analysis},
  114. VOLUME = {197},
  115. YEAR = {2010},
  116. NUMBER = {2},
  117. PAGES = {357--400},
  118. ISSN = {0003-9527},
  119. MRCLASS = {35Q53 (35B10 35B35 35C07 76B25)},
  120. MRNUMBER = {2660515 (2012f:35456)},
  121. MRREVIEWER = {John Albert},
  122. }