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arXiv 1301.2806math.AP
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与熵平衡有关的积分微分系统的奇异极限

Singular limit of an integrodifferential system related to the entropy balance

Elena Bonetti, Pierluigi Colli, Gianni Gilardi

摘要:

根据微力的熵方程和动量平衡,建立了描述具有热记忆相变的热力学模型。在适当的意义下,当记忆核序列收敛于Dirac δ的倍数时,证明了相关的积分微分方程组的收敛性结果和误差估计.

英文摘要:

A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system of PDE as the sequence of memory kernels converges to a multiple of a Dirac delta, in a suitable sense.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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