Derivation of an averaged model of isothermal acoustics in a heterogeneous medium in the case of two different poroelastic domains

Author:

Gerus A. A.,Gritsenko S. A.,Meirmanov A. M.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Reference12 articles.

1. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory (Springer, Berlin, 1980).

2. N. S. Bakhvalov and G. P. Panasenko, Homogenisation: Averaging Processes in Periodic Media. Mathematical Problems in the Mechanics of Composite Materials (Nauka, Moscow, 1984; Kluwer Academic Publ., Dordrecht, 1989).

3. V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators and Integral Functionals (Nauka, Moscow, 1993; Springer, New York, 1994).

4. D. Lukkassen, G. Nguetseng, and P. Wall, “Two-Scale Convergence,” Internat. J. Pure Appl. Math. 2 (1), 35–86 (2002).

5. O. A. Ladyzenskaja, V. A. Solonnikov, and N. N. Ural’ceva, Linear and Quasi-Linear Equations of Parabolic Type (Nauka, Moscow, 1967; AMS, 1968).

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