In this work, we consider a new full von Kármán beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Kármán beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.

中文翻译：

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具有热效应和时变时滞的非线性热扩散全vonKármán光束的适定性和稳定性结果

在这项工作中，我们根据Gurtin-Pinkin模型结合时变延迟，考虑了一个具有热扩散和质量扩散效应的新的完整vonKármán光束模型。在vonKármán光束中热扩散过程中，与环境进行热量和质量交换。我们在适当的条件下，通过能量法建立了系统的适定性和指数稳定性。