A global solution for the t(alpha)-type Navier-Stokes equations

作者：Tu Ziheng^*; Zhai Jian

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(9-10): 3865-3874.

DOI：10.1016/j.na.2010.01.024

• Navier-Stokes equations
• Mild solution
• t(alpha)-type viscosity
• Besov space
• Lubrication

In the present paper, the special type of Navier-Stokes equations (1.1) is investigated. The viscosity varies according to t(alpha), and we call it the t(alpha)-type Navier-Stokes equation. By using the fixed point theorem in special Besov spaces, the global existence and uniqueness results of the solution for 0 <= alpha < 1 are given under the assumption of small initial data.

• 出版日期2010-5-1
• 单位浙江大学