Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations

作者：Zhao Caidi^*; Liang Yunyun; Zhao Min

来源：Nonlinear Analysis: Real World Applications , 2014, 15: 229-238.

DOI：10.1016/j.nonrwa.2013.08.001

This paper discusses the large time behaviors of solutions for a class of incompressible third grade fluid equations in R-3. Using the Fourier splitting method of Schonbek, the authors prove the upper and lower bounds of the time decay rate in L-2 for the weak solutions. The upper and lower bounds of decay rate are optimal in the sense that they coincide with the upper and lower bounds of the decay rate of solutions to the heat equation.

• 出版日期2014-1
• 单位温州大学