References
- [1] M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, (1974). Continuous dependence in Brinkman model 145
- [2] R. J. Knops and L. E. Payne, Continuous data dependence for the equations of classical elastodynamics, Math. Proc. Cambridge Philos. Soc., 66 (1969), 481–491.
- [3] B. Straughan and K. Hutter, A priori bounds and structural stability for double diffusive convection incorporating the Soret effect, Proc. Roy. Soc. Edinburgh Sect. A 455 (1999), 767–777.
- [4] N. Y. Abdul-Hassan, A. H. Ali, and C. Park, A new fifth-order iterative method free from second derivative for solving nonlinear equations., J. Appl. Math. Comput., (2021), 1–10.
- [5] Y. Qin, J. Guo, and P. N. Kaloni, Double diffusive penetrative convection in porous media, Internat. J. Engrg. Sci., 33 (1995), 303–312.
- [6] Y. Qin and J. Chadam, Nonlinear convective stability in a porous medium with temperature-dependent viscosity and inertial drag, Stud. Appl. Math., 96 (1996), 273–288.
- [7] G. A. Meften, Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum, Appl. Math. Comput., 392 (2021), 125694.
- [8] G. A. Meften, A. H. Ali, and M. T. Yaseen, Continuous Dependence for Thermal Convection in a Forchheimer-Brinkman Model with Variable Viscosity, AIP Conference Procedings, (Accepted: 2021), in press.
- [9] L. L. Richardson and B. Straughan, Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 4, 223-230 (1993).
- [10] F. Franchi and B. Straughan, Structural stability for the Brinkman equations of porous media, Math. Methods Appl. Sci., 19 (1996), 1335–1347.
- [11] A. Gilman and J. Bear, The influence of free convection on soil salinization in arid regions, Transp. Porous Media, 23 (1996), 275–301.
- [12] L. E. Payne, J. C. Song, B. Straughan, Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Proc. Roy. Soc. London Sect. A, 455 (1999), 2173–2190.
- [13] L. E. Payne and H. F. Weinberger, New bounds for solutions of second-order elliptic partial differential equations, Pacific J. Math., 8 (1958), 551–573.
- [14] L. E. Payne, Uniqueness criteria for steady state solutions of the Navier-Stokes equations, Atti del Simp. Inter. sulle Appl. dell’Anal. alla Fis. Mat., Cagliari-Sassari, 28 (1964), 130–153.
- [15] L. E. Payne and B. Straughan, Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions, J. Math. Pures Appl. 77 (1998a), 317–354.