Approximation of the incompressible convective Brinkman-Forchheimer equations

作者：Zhao, Caidi^*; You, Yuncheng

来源：Journal of Evolution Equations, 2012, 12(4): 767-788.

DOI：10.1007/s00028-012-0153-3

• Convective Brinkman-Forchheimer equations
• Artificial compressibility method
• Approximation and Convergence

This paper studies the approximation of solutions for the incompressible convective Brinkman-Forchheimer (CBF) equations via the artificial compressibility method. We first introduce a family of perturbed compressible CBF equations that approximate the incompressible CBF equations. Then, we prove the existence and convergence of solutions for the compressible CBF equations to the solutions of the incompressible CBF equations.

• 出版日期2012-12
• 单位温州大学; 上海师范大学