JOINT IDENTIFICATION VIA DECONVOLUTION OF THE FLUX AND ENERGY RELAXATION KERNELS OF THE GURTIN-PIPKIN MODEL IN THERMODYNAMICS WITH MEMORY

LUCIANO PANDOLFI

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JOINT IDENTIFICATION VIA DECONVOLUTION OF THE FLUX AND ENERGY RELAXATION KERNELS OF THE GURTIN-PIPKIN MODEL IN THERMODYNAMICS WITH MEMORY

机译：通过记忆热力学中的Gurtin-pipkin模型的助熔剂和能量松弛核的解卷积联合鉴定

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In this paper we present a linear method for the identication of both the energy and ux relaxation kernels in the equation of thermodynamics with memory proposed by M.E. Gurtin and A.G. Pipkin. The method reduces the identification of the two kernels to the solution of two (linear) deconvolution problems. The energy relaxation kernel is reconstructed by means of energy measurements as the solution of a Volterra integral equation of the rst kind which does not depend on the still unknown ux relaxation kernel. Then, ux measurements are used to identify the ux relaxation kernel.

机译：在本文中，我们提出了一种线性方法，用于在热力学方程中标识能量和UX弛豫核，通过M.E.Gurtin和A.G.Pipkin提出的存储器。该方法将两种核的识别减少到两个（线性）解卷积问题的溶液中。通过能量测量来重建能量松弛内核作为第一个不依赖于仍然未知的UX放松内核的Volterra积分方程的解决方案。然后，UX测量用于识别UX放松内核。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2020年第5期|1589-1599|共11页
作者
LUCIANO PANDOLFI;
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作者单位

Dipartimento di Scienze Matematiche 'G.L. Lagrange' (retired) Politecnico di Torino Corso Duca degli Abruzzi 24 Torino Italy;

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正文语种 eng
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关键词
Relaxation kernel; diffusion processes with memory; identification; deconvolution;

机译：放松内核;带内存的扩散过程;鉴别;去卷积;

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专利

1. IDENTIFICATION OF TIME AND SPACE DEPENDENT RELAXATION KERNELS FOR MATERIALS WITH MEMORY RELATED TO CYLINDRICAL DOMAINS .2. [J] . Colombo F., Lorenzi A. Journal of Mathematical Analysis and Applications . 1997,第1期

机译：记忆与圆柱域相关的材料的时间和空间相关的松弛核的确定; 2。
2. IDENTIFICATION OF TIME AND SPACE DEPENDENT RELAXATION KERNELS FOR MATERIALS WITH MEMORY RELATED TO CYLINDRICAL DOMAINS .1. [J] . Colombo F., Lorenzi A. Journal of Mathematical Analysis and Applications . 1997,第1期

机译：具有与圆柱域相关的存储器的时间和空间相关的松弛核的标识1。
3. Identification of memory kernels in heat flow measuring heat flux at the ends of the bar* The financial support of Estonian Science Foundation is gratefully acknowledged (Grant nr. 7728). View all notes [J] . E. Paisa Mathematical Modelling and Analysis . 2010,第4期

机译：热流中记忆棒的识别，以测量棒材末端的热通量*感谢爱沙尼亚科学基金会的资助（Grant nr。7728）。查看所有笔记
4. Analysis of the SGS energy budget for deconvolution- and relaxation-based models in channel flow [C] . Philipp Schlatter, Steffen Stolz, Leonhard Kleiser International ERCOFTAC Workshop on Direct and Large-Eddy Simulation . 2006

机译：渠道流量下解卷积和放松模型的SGS能源预算分析
5. Convex Relaxations for Robust Identification of Hybrid Models. [D] . Ozay, Necmiye. 2010

机译：凸松弛用于稳健地识别混合模型。
6. Delivery of radiofrequency energy to the lower oesophageal sphincter and gastric cardia inhibits transient lower oesophageal sphincter relaxations and gastro-oesophageal reflux in patients with reflux disease [O] . W C E Tam, M N Schoeman, Q Zhang, 2003

机译：射频能量输送至食管下括约肌和胃gastric门可抑制反流性疾病患者短暂的下食管括约肌松弛和胃食管反流
7. Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory [O] . Luciano Pandolfi 2018

机译：通过记忆热力学中的Gurtin-pipkin模型的助熔剂和能量松弛核的解卷积联合鉴定

JOINT IDENTIFICATION VIA DECONVOLUTION OF THE FLUX AND ENERGY RELAXATION KERNELS OF THE GURTIN-PIPKIN MODEL IN THERMODYNAMICS WITH MEMORY

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