Global existence and optimal decay rate for the strong solutions in H-2 to the 3-D compressible Navier-Stokes equations without heat conductivity

作者：Tan Zhong; Wang Huaqiao^*

来源：Journal of Mathematical Analysis and Applications, 2012, 394(2): 571-580.

DOI：10.1016/j.jmaa.2012.05.001

• The 3-D compressible Navier-Stokes equations without heat conductivity
• Strong solutions
• Optimal decay rates
• Energy estimates

In this paper, we consider the 3-D compressible Navier-Stokes equations without heat conductivity, which form a hyperbolic-parabolic system. We prove the global existence of a strong solution when the initial perturbation is small in H-2 and its L-1-norm is bounded. Moreover, we can obtain the optimal decay rates for such a solution.

• 出版日期2012-10-15
• 单位厦门大学