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An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
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An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
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Journal Article
An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
2016
Overview
The main purpose of this paper is to estimate the thickness of boundary layer for nonlinear evolution equations with damping and diffusion as the diffusion parameter
β
goes to zero. We prove that the thickness of layer is of the order
O
(
β
γ
)
with
0
<
γ
<
1
, thus improving the corresponding result in (Ruan and Zhu in Discrete Contin. Dyn. Syst. 32(1) 331-352,
2012
) where
0
<
γ
<
1
/
2
is obtained.
Publisher
Springer International Publishing,Springer Nature B.V,SpringerOpen
