@article{M2AN_2000__34_2_501_0, author = {Saut, Jean-Claude and Tzvetkov, Nikolay}, title = {On a model system for the oblique interaction of internal gravity waves}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {501--523}, publisher = {Dunod}, address = {Paris}, volume = {34}, number = {2}, year = {2000}, mrnumber = {1765672}, zbl = {0963.76018}, language = {en}, url = {http://archive.numdam.org/item/M2AN_2000__34_2_501_0/} }
TY - JOUR AU - Saut, Jean-Claude AU - Tzvetkov, Nikolay TI - On a model system for the oblique interaction of internal gravity waves JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 501 EP - 523 VL - 34 IS - 2 PB - Dunod PP - Paris UR - http://archive.numdam.org/item/M2AN_2000__34_2_501_0/ LA - en ID - M2AN_2000__34_2_501_0 ER -
%0 Journal Article %A Saut, Jean-Claude %A Tzvetkov, Nikolay %T On a model system for the oblique interaction of internal gravity waves %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 501-523 %V 34 %N 2 %I Dunod %C Paris %U http://archive.numdam.org/item/M2AN_2000__34_2_501_0/ %G en %F M2AN_2000__34_2_501_0
Saut, Jean-Claude; Tzvetkov, Nikolay. On a model system for the oblique interaction of internal gravity waves. ESAIM: Modélisation mathématique et analyse numérique, Special Issue for R. Temam's 60th birthday, Tome 34 (2000) no. 2, pp. 501-523. http://archive.numdam.org/item/M2AN_2000__34_2_501_0/
[1] Model equations for waves in stratified fluids. Proc. Roy. Soc. Lond. A 453 (1997) 1213-1260. | MR | Zbl
, and ,[2] Opérateurs pseudo-différentiel et théorème de Nash-Moser. Éditions du CNRS, EDP Sciences (1991). | MR | Zbl
and ,[3] On strongly interacting internal solitary waves. J. Fourier Anal. and Appl. 5 (1996) 507-517. | MR | Zbl
, and ,[4] A model System for strong interaction between internal solitary waves. Comm. Math. Phys.143 (1992) 287-313. | MR | Zbl
, , and ,[5] Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Annales de l'ENS 14 (1981) 209-246. | Numdam | MR | Zbl
,[6] Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations I. Schrödinger equations. GAFA 3 (1993) 107-156. | MR | Zbl
,[7] Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations II. The KdV equation. GAFA 3 (1993). 209-262. | MR | Zbl
,[8] On the Cauchy problem for the Kadomtsev-Petviashvili equation. GAFA 3 (1993). 315-341. | MR | Zbl
,[9] Fluid parfaits incompressibles. Astérisque 230 (1995). | Numdam | MR | Zbl
,[10] Au delà des operateurs pseudodifférentiels. Astérisque 57 (1978). | Numdam | MR | Zbl
and ,[11] Applications of Schochet's methods to parabolic equations. J. Math. Pures Appl. 77 (1998) 989-1054. | MR | Zbl
,[12] Weak and strong interactions between internal solitary waves. Stud. Appl. Math. 65 (1984) 235-258. | MR | Zbl
and ,[13] Le problème de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'après Bourgain). Séminaire Bourbaki 796, Astérique 237 (1995) 163-187. | Numdam | MR | Zbl
,[14] On the Cauchy problem for the Zakharov system. J. Funct. Anal. 151 (1997) 384-436. | MR | Zbl
, and ,[15] Oblique interactions between internal solitary waves. Stud. Appl. Math. 92 (1994) 249-270. | MR | Zbl
, ,[16] The resolution of the Navier-Stokes equations in anisotropic spaces. Revista Matematica Ibero-Americana 15 (1999) 1-36. | MR | Zbl
,[17] On equations of KP-type. Proc. Roy. Soc. Edinburgh A 128 (1998) 725-743. | MR | Zbl
, ,[18] El problema de Cauchy para la ecuacion de Kadomtsev-Petviashvili (KP-II) en espacios de Sobolev Hs, s › 0, preprint (1997). | MR
, and ,[19] L2 global well-posedness of the initial value problem associated to the Benjamin equation. J. Differential Equations 152 (1999) 377-393. | MR | Zbl
,[20] A bilinear estimate with applications to the KdV equations. J. AMS 9 (1996) 573-603. | MR | Zbl
, and ,[21] Quadratic forms for 1 - D semilinear Schrödinger equation. Trans. Amer. Math. Soc. 348 (996) 3323-3353. | MR | Zbl
, and ,[22] Remarks on the generalized Kadomtsev-Petviashvih equations. Indiana Uinv. Math. J. 42 (1993) 1017-1029. | MR | Zbl
,[23] Restriction of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math. J.44 (1977) 705-714. | MR | Zbl
,[24] Well-posedness for the Kadomtsev-Petvtashvili II equation, preprint (1998). | MR | Zbl
,[25] Global low regularity solutions for Kadomtsev-Petviashvili equation. Diff. Int. Eq. (to appear). | MR | Zbl
,