Compressible Euler equation with damping on Torus in arbitrary dimensions

Nan Lu

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arXiv · 1309.5059

Compressible Euler equation with damping on Torus in arbitrary dimensions

Nan Lu

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Abstract

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.

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Nan Lu. 2014-10-19. Compressible Euler equation with damping on Torus in arbitrary dimensions. https://arxiv.org/abs/1309.5059

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