A note on boundary layer of a nonlinear evolution system with damping and diffusions
A note on boundary layer of a nonlinear evolution system with damping and diffusions
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DOI：
10.1016/j.jmaa.2015.01.053
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发表时间：
2015-06
影响因子：
1.3
通讯作者：
Hongyun Peng;Lizhi Ruan;Jianlin Xiang
中科院分区：
文献类型：
--
作者：
Hongyun Peng;Lizhi Ruan;Jianlin Xiang
本文研究了带阻尼和扩散的非线性演化系统的初边值问题。我们的主要目的是研究零扩散极限，这是由抛物-抛物耦合方程得到抛物-双曲耦合方程的形式。结果表明，当扩散参数β趋于零时，边界层厚度为O （β γ）阶，且为0< γ< 34。
In this paper, we consider an initial-boundary value problem for a nonlinear evolution system with damping and diffusions on the strip. Our main purpose is to investigate zero-diffusion limits, which formally yield parabolic–hyperbolic coupled equations resulting from parabolic–parabolic coupled equations. It is shown that the boundary layer thickness is of the order O (β γ) with 0< γ< 3 4 as the diffusion parameter β goes to zero.