Mathematics – Analysis of PDEs
Scientific paper
2010-03-18
Mathematics
Analysis of PDEs
29 pages
Scientific paper
We prove the well-posedness of the Cauchy problem on torus to an eletromagnetoelastic system. The physical model consists of three coupled partial differential equations, one of them is a hyperbolic equation describing the elastic medium and two other ones form a parabolic system, which comes from Maxwell's equations. Experimental measurements suggest that the elastic medium has a periodic structure, moreover with finite number of discontinuities on the fundamental domain. Thus we have study in this paper the problem which we have defined as periodically Cauchy diffraction problem.
Neves Wladimir
Priimenko Viatcheslav
Vishnevskii Mikhail
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