Author:
Li Zhiqing,Zhang Wenbin,Li Yuanfei
Abstract
<abstract><p>In this paper, it is assumed that the Forchheimer flow goes through a semi-infinite cylinder. The nonlinear boundary condition is satisfied on the finite end of the cylinder, and the homogeneous boundary condition is satisfied on the side of the cylinder. Using the method of energy estimate, the structural stability of the solution in the semi-infinite cylinder is obtained.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference23 articles.
1. D. A. Nield, A. Bejan, Convection in Porous Media, Springer Press, New York, 1992.
2. B. Straughan, Mathematical Aspects of Penetrative Convection, Pitman Research Notes in Mathematics Series, CRC Press: Boca Raton, FL, USA, (1993), 288.
3. L. E. Payne, J. C. Song, Spatial decay bounds for the Forchheimer equations, Int. J. Eng. Sci., 40 (2002), 943–956. https://doi.org/10.1016/S0020-7225(01)00102-1
4. C. O. Horgan, L. T. Wheeler, Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow, SIAM J. Appl. Math., 35 (1978), 97–116. https://doi. org/10.1137/0135008
5. J. C. Song, Spatial decay estimates in time-dependent double-diffusive darcy plane flow, J. Math. Anal. Appl., 267 (2002), 76–88. https://doi.org/10.1006/jmaa.2001.7750