关于热-压电-电磁系统的一些阻抗边界条件
On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System
AI总结：
本文基于已有见解扩展了压电电磁阻抗边界条件，通过引入新方程和边界项计入热影响，并证明了热-压电-电磁系统在该条件下的演化适定性。
摘要：
基于 Rainer Picard 和 Serge Nicaise 提供的见解，我们扩展了一组抽象的压电电磁阻抗边界条件。通过引入新方程和附加边界项以计入热的影响来实现这一点。我们证明了已知的热-压电-电磁系统在这些边界条件下的演化适定性。此处的演化适定性指唯一可解性以及对给定数据的连续和因果依赖性。
英文摘要：
Based on a combination of insights afforded by Rainer Picard and Serge Nicaise, we extend a set of abstract piezo-electromagnetic impedance boundary conditions. We achieve this by accommodating for the influence of heat with the inclusion of a new equation and additional boundary terms. We prove the evolutionary well-posedness of a known thermo-piezo-electromagnetic system under these boundary conditions. Evolutionary well-posedness here means unique solvability as well as continuous and causal dependence on given data.
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。
