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arXiv 1503.00293math.AP
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Norton-Hoff型模型的热粘塑性重整化解。第一部分:截短案例

Renormalised solutions in thermo-visco-plasticity for a Norton-Hoff type model. Part I: the truncated case

Krzysztof Chełmiński, Sebastian Owczarek

摘要:

证明了具有Norton-Hoff型非弹性本构函数的截断热粘塑性方程在时间上整体强解的存在性。这一结果是一个起点,以获得所考虑的模型没有截断renoramlised解决方案。我们的证明方法是基于Yosida近似的最大单调项和一个通道的极限。

英文摘要:

We prove existence of global in time strong solutions to the truncated thermo- visco-plasticity with an inelastic constitutive function of Norton-Hoff type. This result is a starting point to obtain renoramlised solutions for the considered model without truncations. The method of our proof is based on Yosida approximation of the maximal monotone term and a passage to the limit.

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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