Structural Stability of Generalized Forchheimer Equations for Compressible Fluids in Porous Media
نویسندگان
چکیده
We study the generalized Forchheimer equations for slightly compressible fluids in porous media. The structural stability is established with respect to either the boundary data or the coefficients of the Forchheimer polynomials. An inhomogeneous Poincare-Sobolev inequality related to the non-linearity of the equation is used to study the asymptotic behavior of the solutions. Moreover, we prove a perturbed monotonicity property of the vector field associated with the resulting non-Darcy equation, where the correction is linear in the coefficients of the Forchheimer polynomials.
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