Structural stability for Forchheimer fluid in a semi-infinite pipe

Abstract

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.

Keywords

• forchheimer flow
• structural stability
• energy estimate