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

We study the small-data Cauchy problem for n-dimensional Stokes damped Rosenau equation. Under some assumptions, we prove the global existence and uniqueness of the small-amplitude solution by utilizing the contraction mapping principle and study the asymptotic behavior of the solution. Copyright © 2015 John Wiley & Sons, Ltd.