各向异性非均匀介质中的弹性声传播问题
On an Elasto-Acoustic Transmission Problem in Anisotropic, Inhomogeneous Media
摘要：
我们考虑一个耦合系统描述的声学和弹性区域之间的相互作用，耦合发生不通过材料的性能，但通过一个界面上的相互作用分离的两个政权。演化适定性的意义上的阿达玛适定性补充因果关系的广义接口条件的自然选择。这些结果是在实Hilbert空间中得到的，在边界上没有正则性约束，在底层区域的界面上几乎没有正则性约束。
英文摘要：
We consider a coupled system describing the interaction between acoustic and elastic regions, where the coupling occurs not via material properties but through an interaction on an interface separating the two regimes. Evolutionary well-posedness in the sense of Hadamard well-posedness supplemented by causal dependence is shown for a natural choice of generalized interface conditions. The results are obtained in a real Hilbert space setting incurring no regularity constraints on the boundary and almost none on the interface of the underlying regions.
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