Well-posedness and decay of solutions for three-dimensional generalized Navier-Stokes equations

作者：Duan, Ning^*

来源：Computers & Mathematics with Applications, 2018, 76(5): 1026-1033.

DOI：10.1016/j.camwa.2018.05.038

• Generalized Navier-Stokes equations
• Existence
• Uniqueness
• Decay

In this paper, we study the generalized incompressible Navier-Stokes equations in R-3. Based on the energy estimates and regularization of the initial data with the heat semi group, we prove the well-posedness of solutions in H5-4 alpha/2 (R-3) provided that the H5-4 alpha/2 (R-3)-norm of initial data is sufficiently small. In addition, in contrast to the generalized heat equation, the upper bound of the time decay rate of solutions to the generalized Navier-Stokes equations is also established.

• 出版日期2018-9-1
• 单位江南大学