Geodesic
Homogenisation of the isothermal acoustics models in the configuration elastic body--porous-elastic medium
Matematičeskoe modelirovanie, Tome 28 (2016) no. 12, pp. 3-19

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We consider isothermal acoustics in composite medium with two different components. Composite medium is consist from some elastic body and porous-elastic medium. Porous-elastic medium is filled with a fluid. Unique existence of the generalized solution of boundary-value problem is proved. Homogenized models are derived in various cases.
Keywords: composite medium, periodic structure, acoustics equations, porous-elastic, homogenization of periodic structures, two-scale convergence.
Mots-clés : Lame's equations 
@article{MM_2016_28_12_a0,
     author = {A. M. Meirmanov and A. A. Gerus and S. A. Gritsenko},
     title = {Homogenisation of the isothermal acoustics models in the configuration elastic body--porous-elastic medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--19},
     publisher = {mathdoc},
     volume = {28},
     number = {12},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_12_a0/}
}
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A. M. Meirmanov; A. A. Gerus; S. A. Gritsenko. Homogenisation of the isothermal acoustics models in the configuration elastic body--porous-elastic medium. Matematičeskoe modelirovanie, Tome 28 (2016) no. 12, pp. 3-19. http://geodesic.mathdoc.fr/item/MM_2016_28_12_a0/