%0 Journal Article
%T Compressible Euler equation with damping on Torus in arbitrary dimensions
%A Nan Lu
%J Mathematics
%D 2013
%I arXiv
%X We study the exponential stability of constant steady state of isentropic compressible Euler equation with damping on $\mathbb T^n$. The local existence of solutions is based on semigroup theory and some commutator estimates. We propose a new method instead of energy estimates to study the stability, which works equally well for any spatial dimensions.
%U http://arxiv.org/abs/1309.5059v3