Abstract In this paper, we study the convergence rates of solutions in homogenization of nonlinear Stokes Dirichlet problems. The main difficulty of this work is twofold. On the one hand, the nonlinear Stokes problems do not fit the standard framework of second-order elliptic equations in divergence form. On the other hand, nonlinear problems may cause new difficulties in the estimation of the quantity as well as first-order approximate term. As a consequence, we establish the sharp rates of convergence in H1 $H^{1}$ and L2 $L^{2}$. This work may be regarded as an extension of the approach for the linear Stokes problems to the nonlinear case.

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approach estimation of secondorder elliptic equations approximate nonlinear stokes dirichlet convergence rates

Juan Wang,Jie Zhao,.Convergence rates of nonlinear Stokes problems in homogenization. 2019 (1),.

Juan Wang,Jie Zhao,"Convergence rates of nonlinear Stokes problems in homogenization" 2019

Juan Wang,Jie Zhao,"Convergence rates of nonlinear Stokes problems in homogenization"