Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method

作者：Zhao Caidi^*

来源：Mathematical Methods in the Applied Sciences, 2013, 36(7): 840-856.

DOI：10.1002/mma.2658

• incompressible non-Newtonian fluid equations
• artificial compressibility method
• approximation

This paper studies the approximation of the non-Newtonian fluid equations by the artificial compressibility method. We first introduce a family of perturbed compressible non-Newtonian fluid equations (depending on a positive parameter epsilon) that approximates the incompressible equations as epsilon 0+. Then, we prove the unique existence and convergence of solutions for the compressible equations to the solutions of the incompressible equations.

• 出版日期2013-5-15
• 单位温州大学