Abstract
Abstract
For the compressible Euler equations with time-dependent damping
−
1
(
1
+
t
)
λ
ρ
u
, we propose a time asymptotic expansion around the self-similar solution of the generalized porous media equation and rigorously justify this expansion as
λ
∈
(
1
7
,
1
)
. Furthermore, the above expansion is the best asymptotic profile of the solution to the compressible Euler equations with time-dependent damping.
Funder
National Key R&D Program of China
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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