Compressible Euler equation with damping on Torus in arbitrary dimensions
Analysis of PDEs
2014-10-21 v3 Dynamical Systems
Abstract
We study the exponential stability of constant steady state of isentropic compressible Euler equation with damping on . 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.
Cite
@article{arxiv.1309.5059,
title = {Compressible Euler equation with damping on Torus in arbitrary dimensions},
author = {Nan Lu},
journal= {arXiv preprint arXiv:1309.5059},
year = {2014}
}