Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
- Authors
- Zhabborov, Nasridin M.; Imomnazarov, Kholmatzhon Kh.
- Contact information
- Zhabborov, Nasridin M.:National university of Uzbekistan Vuzgorodok, Tashkent, 100174, Uzbekistan;; Imomnazarov, Kholmatzhon Kh.:Mathematics and Mathematical Geophysics, SB RAS, Lavrenteva, 6, Novosibirsk, 630090, Russia;
- Keywords
- differential equation; poroelasticity statics; stress tensor
- 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
- Pages
- 132–138
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10145
Journal of Siberian Federal University. Mathematics & Physics / Mean Value Theorem for a System of Differential Equations for the Stress Tensor and Pore Pressure
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