Well-posedness of a general higher order model in nonlinear acoustics
Well-posedness of a general higher order model in nonlinear acoustics
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DOI：
10.1016/j.aml.2016.07.008
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
B. Kaltenbacher
中科院分区：
文献类型：
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作者：
B. Kaltenbacher
本文证明了一般非线性声学模型的适定性和指数稳定性。证明的关键步骤是一个乘法分裂的微分算子成一个热和一个强阻尼波部分加上一些低阶的剩余部分，以及推导出一个适当的谱界。
In this paper we prove well-posedness and exponential stability for a general model of nonlinear acoustics. The key steps of the proof are a multiplicative splitting of the differential operator into a heat and a strongly damped wave part plus some lower order remainder, as well as derivation of an appropriate spectral bound.