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Time decay of solutions to the compressible Euler equations with damping. (English) Zbl 1318.35072
Summary: We consider the time decay rates of the solution to the Cauchy problem for the compressible Euler equations with damping. We prove the optimal decay rates of the solution as well as its higher-order spatial derivatives. The damping effect on the time decay estimates of the solution is studied in details.

MSC:
35Q31 Euler equations
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35P20 Asymptotic distributions of eigenvalues in context of PDEs
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