Nonstationary vortex surface waves

Siberian Mathematical Journal

Volumn 37, Issue 6, 1996, Pages 1189-1198

  Nalimov, V I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26044448021     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02106744     Document Type: Article

References (10)

1. V. I. Nalimov, "A priori estimates for solutions to elliptic equations in the class of analytic functions and their applications to the Cauchy-Poisson problem," Dokl. Akad. Nauk SSSR, 189, No. 1, 45-49 (1969).
2. L. V. Ovsjannikov, "Nonlocal Cauchy problems in fluid dynamics," Actes du Congres International des Mathematiciens, No. 3, Gauthier-Villars, Paris (1971).
3. M. Shinbrot, "The initial value problem for surface waves under gravity. I: The simplest case," Indiana Univ. Math. J., 25, No. 3, 281-300 (1976).
4. V. I. Nalimov, "The Cauchy-Poisson problem," Dinamika Sploshn. Sredy (Novosibirsk), 18, 104-210 (1974).
5. M. Yoshihara, "Gravity waves on the free surface of an incompressible perfect fluid of finite depth," Kyoto Univ. Math. J, 18, 49-96 (1982).
6. V. I. Nalimov, "Justification of approximate models of the theory of plane unsteady waves," in: Nonlocal Problems in the Theory of Surface and Internal Waves [in Russian], Nauka, Novosibirsk, 1985, pp. 97-127.
7. M. A. Bimenov, "The space Cauchy-Poisson problem in classes of functions with finite smoothness," Dinamika Sploshn. Sredy (Novosibirsk), 109, 65-78 (1994).
8. V. I. Nalimov, "A model problem of vertical surface waves," Sibirsk. Mat. Zh., 35, No. 5, 1119-1124 (1994).
9. J. J. Stoker, Water Waves. Mathematical Theory and Applications [Russian translation], Izdat. Inostr. Lit., Moscow (1959).
10. J.-L. Lions and E. Magenes, Problémes aux Limites Non Homogénes et Applications. Vol. 1 [Russian translation], Mir, Moscow (1971).