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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2009 Volume 2, Issue 4, Pages 394–400 (Mi jsfu87)

Theorem on a Spherical Mean for Inhomogeneous Poroelastic System

Nasriddin M. Zhabborova, Kholmatzhon Kh. Imomnazarovb

a National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: Relations of the mean for a vector of displacement of an elastic porous body and a pore pressure for inhomogeneous poroelastic static system, when mass forces and energy dissipation are absent, are obtained.

Keywords: theorem about a spherical mean, a pore pressure.

UDC: 517.9+539.3



© Steklov Math. Inst. of RAS, 2024