Compressible Euler equation with damping on Torus in arbitrary dimensions
Nan Lu
35L04compressible euler
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.
Indiana University Mathematics Journal
2015
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10.1512/iumj.2015.64.5488
10.1512/iumj.2015.64.5488
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Indiana Univ. Math. J. 64 (2015) 343 - 356
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