The authors study the asymptotic behavior of the incompressible Navier-Stokes fluid with degree of freedom in the porous medium in R^n with n = 2 or 3. They derive the Darcy law as ε, the character size of the hole, ...The authors study the asymptotic behavior of the incompressible Navier-Stokes fluid with degree of freedom in the porous medium in R^n with n = 2 or 3. They derive the Darcy law as ε, the character size of the hole, tends to zero. Moreover, the authors obtain the expression of the degree of freedom from the homogenized model.展开更多
基金supported by the Research of High Schools of Guangzhou(No.1201420925)Guangdong Natural Science Foundation(No.2014A030313526)
文摘The authors study the asymptotic behavior of the incompressible Navier-Stokes fluid with degree of freedom in the porous medium in R^n with n = 2 or 3. They derive the Darcy law as ε, the character size of the hole, tends to zero. Moreover, the authors obtain the expression of the degree of freedom from the homogenized model.
