Homogenization in the problem of long water waves over a bottom site with fast oscillations

Author:

Grushin V. V.,Dobrokhotov S. Yu.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference29 articles.

1. N. S. Bakhvalov and G. P. Panasenko, Homogenizing Processes in Periodic Media: Mathematical Problems of the Mechanics of Composite Materials (Nauka, Moscow, 1984) [Homogenization: Averaging Processes in Periodic Media, Kluwer, 1989].

2. V. V. Jikov [Zhikov], S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators (Fizmatlit, Moscow, 1993) [Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, 1994].

3. V. A. Marchenko and E. Ya. Khruslov, Homogenized Models of Micro-Inhomogeneous Media (Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkov, 2003) [Homogenization of Partial Differential Equations, Birkhäuser, 2006].

4. A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, in Stud. Math. Appl. (North-Holland Publ., Amsterdam, 1978), Vol. 5.

5. E. N. Pelinovskii, in Hydrodynamics of Tsunami Waves (Institute of Applied Physics of the Russian Academy of Sciences, Nizhnii Novgorod, 1996) [in Russian].

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