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Asymptotic solution of the inverse problem for restoring the modular type source in Burgers’ equation with modular advection
Journal of Inverse and Ill-posed Problems ( IF 0.9 ) Pub Date : 2020-11-01 , DOI: 10.1515/jiip-2020-0084
Nikolay Nikolaevich Nefedov 1 , V. T. Volkov 1
Affiliation  

Abstract For a singularly perturbed Burgers’ type equation with modular advection that has a time-periodic solution with an internal transition layer, asymptotic analysis is applied to solve the inverse problem for restoring the function of the source using known information about the observed solution of a direct problem at a given time interval (period).

中文翻译:

带模平流的 Burgers 方程中模型源复原反问题的渐近解

摘要 对于具有带内部过渡层的时间周期解的模对流奇异摄动 Burgers 型方程,应用渐近分析来解决逆问题,以使用有关观测解的已知信息来恢复源函数。在给定的时间间隔(期间)直接问题。
更新日期:2020-11-01
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