Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media | Zendy

Iacopo Borsi | Zendy; Angiolo Farína | Zendy; Roberto Gianni | Zendy; Mario Primicerio | Zendy

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Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media

Author(s) -

Iacopo Borsi,

Angiolo Farína,

Roberto Gianni,

Mario Primicerio

Publication year - 2009

Publication title -

rendiconti lincei matematica e applicazioni

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.824

H-Index - 28

eISSN - 1720-0768

pISSN - 1120-6330

DOI - 10.4171/rlm/531

Subject(s) - mathematics , class (philosophy) , porous medium , flow (mathematics) , constitutive equation , calculus (dental) , mathematical analysis , porosity , geometry , computer science , artificial intelligence , thermodynamics , geotechnical engineering , physics , geology , finite element method , medicine , dentistry

In this paper we consider the PDE describing the uid ow in a porous medium, fo- cusing on the solution's dependence upon the choice of the saturation curve and the hydraulic conductivity. Basically, we consider two dierent saturation curves (say 1 and 2) and two dierent hydraulic conductivities ( K1 and K2) which are both \close" in the L 1 loc -norm. Then we nd estimates to prove a constitutive stability for the solutions of the corresponding problems with the same boundary and initial conditions.

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