Differential and Integral Equations

A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations

Mohammed Louaked, Nour Seloula, Shuyu Sun, and Saber Trabelsi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In this work, we study the Brinkman-Forchheimer equations for unsteady flows. We prove the continuous dependence of the solution on the Brinkman's and Forchheimer's coefficients as well as the initial data and external forces. Next, we propose and study a perturbed compressible system that approximate the Brinkman-Forchheimer equations. Finally, we propose a time discretization of the perturbed system by a semi-implicit Euler scheme and next a lowest-order Raviart-Thomas element is applied for spatial discretization. Some numerical results are given.

Article information

Differential Integral Equations, Volume 28, Number 3/4 (2015), 361-382.

First available in Project Euclid: 4 February 2015

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35K55: Nonlinear parabolic equations 35Q35: PDEs in connection with fluid mechanics


Louaked, Mohammed; Seloula, Nour; Sun, Shuyu; Trabelsi, Saber. A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations. Differential Integral Equations 28 (2015), no. 3/4, 361--382. https://projecteuclid.org/euclid.die/1423055233

Export citation