Abstract. — In this paper we consider the PDE describing the fluid flow in a porous medium, focusing on the solution’s dependence upon the choice of the saturation curve and the hydraulic conductivity. Basically, we consider two different saturation curves (say y1 and y2) and two different hydraulic conductivities (K1 and K2) which are both ‘‘close’’ in the L2 loc-norm. Then we find estimates to prove a constitutive stability for the solutions of the corresponding problems with the same boundary and initial conditions.
Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media / Gianni, Roberto; A., Farina; M., Primicerio; I., Borsi. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. RENDICONTI LINCEI. SUPPLEMENTO. - ISSN 1121-3094. - 20:(2009), pp. 1-24.
Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media
GIANNI, Roberto;
2009
Abstract
Abstract. — In this paper we consider the PDE describing the fluid flow in a porous medium, focusing on the solution’s dependence upon the choice of the saturation curve and the hydraulic conductivity. Basically, we consider two different saturation curves (say y1 and y2) and two different hydraulic conductivities (K1 and K2) which are both ‘‘close’’ in the L2 loc-norm. Then we find estimates to prove a constitutive stability for the solutions of the corresponding problems with the same boundary and initial conditions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
