@article{ASNSP_1981_4_8_4_513_0, author = {Turner, R. E. L.}, title = {Internal waves in fluids with rapidly varying density}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {513--573}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 8}, number = {4}, year = {1981}, mrnumber = {656000}, zbl = {0514.76019}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1981_4_8_4_513_0/} }
TY - JOUR AU - Turner, R. E. L. TI - Internal waves in fluids with rapidly varying density JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1981 SP - 513 EP - 573 VL - 8 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1981_4_8_4_513_0/ LA - en ID - ASNSP_1981_4_8_4_513_0 ER -
%0 Journal Article %A Turner, R. E. L. %T Internal waves in fluids with rapidly varying density %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1981 %P 513-573 %V 8 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1981_4_8_4_513_0/ %G en %F ASNSP_1981_4_8_4_513_0
Turner, R. E. L. Internal waves in fluids with rapidly varying density. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 8 (1981) no. 4, pp. 513-573. http://archive.numdam.org/item/ASNSP_1981_4_8_4_513_0/
[1] Internal waves of finite amplitude and permanent form, J. Fluid Mech., 25 (1966), pp. 241-270. | Zbl
,[2] Characteristics of internal solitary waves, J. Res. Nat. Bur. Standards, 51 (1953), pp. 133-140. | Zbl
,[3] Solitary waves in one- and two-fluid systems, Tellus, 8 (1956), pp. 460-471.
,[4] Solitary waves in liquids having non-constant density, Comm. Pure Appl. Math., 13 (1960), pp. 115-164. | MR | Zbl
- ,[5] Some aspects of the flow of stratified fluids. Part I : A theoretical investigation, Tellus, 5 (1953), pp. 42-57. | MR
,[6] Sur les théorèmes d'existence relatifs aux ondes permanentes periodiques à deux dimensions dans les liquides hétérogènes, J. Math. Pures Appl. (9), 19 (1937), pp. 43-67. | JFM | Numdam | Zbl
,[7] Exact solutions for steady two-dimensional flow of a stratified fluid, J. Fluid Mech., 9 (1960), pp. 161-174. | MR | Zbl
,[8] Théorie exacte des ondes longues stationnaires dans un liquide hétérogène, J. Mécanique, 2 (1963), pp. 351-376. | MR
,[9] The existence of solitary waves, Comm. Pure Appl. Math., 7 (1954), pp. 517-550. | MR | Zbl
- ,[10] A global theory of steady waves in continuously stratified fluids, Math. Res. Center Tech. Rep., University of Wisconsin, to appear.
- - ,[11] A unified theory of conjugate flows, Philos. Trans. Roy. Soc. London, A 269 (1971), pp. 587-643. | MR | Zbl
,[12] Bifurcation theory and permanent waves, in Applications of Bifurcation Theory, P. Rabinowitz ed., Academic Press, New York, 1977. | MR
,[13] Water Waves, Interscience Publishers, Inc., New York, 1957. | MR | Zbl
,[14] Bifurcation for non-differentiable operators with an application to elasticity, Arch. Rational Mech. Anal., 63 (1976), pp. 1-45. | MR | Zbl
- ,[15] Elliptic Partial Differential Equations of Second Order, Grundlehren der mathematische Wissenschaften 224, Springer-Verlag, Berlin, Heidelberg, New York, 1977. | MR | Zbl
- ,[16] Dual variational methods in critical point theory and applications, J. Functional Analysis, 14 (1973), pp. 349-381. | MR | Zbl
- ,[17] Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. | MR | Zbl
- ,[18] Sobolev Spaces, Academic Press, New York, 1975. | MR | Zbl
,[19] Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematical Studies 27, Princeton University Press, Princeton, 1950. | MR | Zbl
- ,[20] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12 (1959), pp. 623-727. | MR | Zbl
- - ,[21] Methods of Mathematical Physics, vol. II, Interscience Publishers, New York, 1962. | MR | Zbl
- ,[22] On Solitary Water-Waves of Finite Amplitude, Arch. Rat. Mech. Anal., 76 (1981), pp. 9-95. | MR | Zbl
- ,[23] On the existence theory for irrotational water waves, Math. Proc. Cambridge Philos. Soc., 83 (1978), pp. 137-157. | MR | Zbl
- ,[24] Interfacial solitary waves in a two-fluid medium, The Physics of Fluids, 16 (1973), pp. 1796-1804.
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