Potential Method in Mathematical Theories of Multi-Porosity Media by Merab Svanadze

Author:Merab Svanadze
Language: eng
Format: epub, pdf
ISBN: 9783030280222
Publisher: Springer International Publishing

8.1 Basic Boundary Value Problems

As mentioned in Sect. 1.​5, the system of equations of pseudo-oscillations in the linear theory of elasticity for materials with quadruple porosity can be written in the form

(8.1)

where u is the displacement vector, p is the pressure vector; F (1) and F (2) are three- and four-component vector functions, respectively; c ′ = −(τ b + d), τ = τ 1 + iτ 2 is a complex number, and τ 1 and τ 2 are real numbers, τ 1 > 0.

Obviously, the systems (8.1) we can rewritten in the matrix form

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