Hyperbolic–parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation
Hyperbolic–parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation
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DOI：
10.1002/mma.1114
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发表时间：
2009-10
影响因子：
2.9
通讯作者：
T. Yamazaki
中科院分区：
文献类型：
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作者：
T. Yamazaki
考虑一类具有弱耗散的拟线性Kirchhoff型双曲型方程的双曲-抛物型奇摄动问题。本文的目的是给出上述双曲型方程的解与相应抛物型方程的解之差的时间衰减收敛估计，以及上述双曲型方程整体解的唯一存在性。版权所有©2009 John Wiley&Sons，Ltd.
We consider a hyperbolic–parabolic singular perturbation problem for a quasilinear hyperbolic equation of Kirchhoff type with dissipation weak in time. The purpose of this paper is to give time‐decay convergence estimates of the difference between the solutions of the hyperbolic equation above and those of the corresponding parabolic equation, together with the unique existence of the global solutions of the hyperbolic equation above. Copyright © 2009 John Wiley & Sons, Ltd.