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Surface waves of finite depth. (English) Zbl 0128.44502

Keywords:
fluid mechanics
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References:
[1] K. O. Friedrichs, ”über ein Minimumproblem für Potentialströmungen mit freiem Rande,”Math. Ann., vol.109 (1934), pp. 60–82. · JFM 59.1447.01 · doi:10.1007/BF01449125
[2] K. O. Friedrichs, ”Pinch buckling”,Rev. Modern Phys., vol.32 (1960), pp. 889–897. · Zbl 0098.44104 · doi:10.1103/RevModPhys.32.889
[3] P. R. Garabedian,Partial Differential Equations, Wiley, New York, 1964. · Zbl 0124.30501
[4] P. R. Garabedian, ”Proof of uniqueness by symmetrization,”Studies in mathematical analysis and related topics: Essays in honor of George Pólya, Stanford University Press, Stanford, 1962, pp. 126–127.
[5] P. R. Garabedian, ”Lectures on function theory and partial differential equations,”Rice University Studies, 1963. · Zbl 0133.04402
[6] P. R. Garabedian and H. L. Royden, ”A remark on cavitational flow,”Proc. Nat. Acad. Sci. U.S.A., vol.38 (1952), pp. 57–61. · Zbl 0046.18502 · doi:10.1073/pnas.38.1.57
[7] P. R. Garabedian and D. C. Spencer, ”Extremal methods in cavitational flow,”J. Ratl. Mech. Anal., vol.1 (1952), pp. 359–409. · Zbl 0046.18504
[8] J. L. Kazdan, ”A boundary value problem arising in the theory of univalent functions,”J. Math. Mech., vol.13 (1964), pp. 283–303. · Zbl 0192.17402
[9] H. Lewy, ”On steady free surface flow in a gravity field,”Comm. Pure Appl. Math., vol.5 (1952), pp. 413–414. · Zbl 0048.19201 · doi:10.1002/cpa.3160050402
[10] M. Morse, The calculus of variations in the large,A.M. S. Colloquium Publ., vol.18, New York, 1934. · Zbl 0011.02802
[11] G. Pólya and G. Szegö,Isoperimetric inequalities in mathematical physics, Princeton University Press, Princeton, 1951. · Zbl 0044.38301
[12] M. Shiftman, ”The Plateau problem for non-relative minima,”Ann. Math., vol.40 (1939), pp. 834–854. · Zbl 0023.39802 · doi:10.2307/1968897
[13] J. J. Stoker,Water waves, Interscience, New York, 1957. · Zbl 0078.40805
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