Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term

作者：Wang Hongwei; Wang Shubin^*

来源：Journal of Mathematical Analysis and Applications, 2013, 401(2): 763-773.

DOI：10.1016/j.jmaa.2012.12.069

• Rosenau equation
• Hydrodynamical damped term
• Global existence
• Asymptotic behavior

We consider the Cauchy problem for Rosenau equation with hydrodynamical damped term in n-dimensional space. Under smallness condition on the initial data, we prove the global existence and asymptotic behavior of the solution in the time-weighted Sobolev spaces by the contraction mapping principle.

• 出版日期2013-5
• 单位西安交通大学