|
Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 1, Pages 132–138
(Mi jsfu349)
|
|
|
|
Mean value theorem for a system of differential equations for the stress tensor and pore pressure
Nasridin M. Zhabborova, Kholmatzhon Kh. Imomnazarovb a National University of Uzbekistan Vuzgorodok, Tashkent, 100174,
Uzbekistan
b Mathematics and Mathematical Geophysics, SB RAS, Lavrenteva, 6, Novosibirsk, 630090, Russia
Abstract:
A system of second-order differential equations for the stress tensor and pore pressure for the poroelasticity statics in the absence of mass forces and energy dissipation is obtained. The stress tensor is shown to be a biharmonic function. Integral mean value relations in explicit form for the obtained systems of differential equations are found.
Keywords:
differential equation, poroelasticity statics, stress tensor.
Received: 02.10.2013 Received in revised form: 22.11.2013 Accepted: 04.12.2013
Citation:
Nasridin M. Zhabborov, Kholmatzhon Kh. Imomnazarov, “Mean value theorem for a system of differential equations for the stress tensor and pore pressure”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 132–138
Linking options:
https://www.mathnet.ru/eng/jsfu349 https://www.mathnet.ru/eng/jsfu/v7/i1/p132
|
Statistics & downloads: |
Abstract page: | 205 | Full-text PDF : | 81 | References: | 48 |
|