Weak and strong solutions for the incompressible Navier-Stokes equations with damping

作者：Cai Xiaojing; Jiu Quansen^*

来源：Journal of Mathematical Analysis and Applications, 2008, 343(2): 799-809.

DOI：10.1016/j.jmaa.2008.01.041

• Navier-Stokes equations
• damping
• weak solutions
• strong solution

In this paper, we show that the Cauchy problem of the Navier-Stokes equations with damping alpha vertical bar u vertical bar(beta-1)u(alpha > 0) has global weak solutions for any beta >= 1, global strong solution for any beta >= 7/2 and that the strong solution is unique for any 7/2 <= beta <= 5.

• 出版日期2008-7-15
• 单位首都师范大学