Title: Compressible Euler equation with damping on Torus in arbitrary dimensions

Authors: Nan Lu

Issue: Volume 64 (2015), Issue 2, 343-356


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.