Quintanilla, R. End effects in the dynamical problem of magneto-elasticity. (English) Zbl 1038.74019 Arch. Mech. 54, No. 3, 245-256 (2002). Summary: We derive spatial decay bounds for the solutions of linear dynamical problem of magneto-elasticity in a semi-infinite cylindrical region. For the forward-in-time problem we prove that an energy expression is bounded from above by a decaying exponential of a quadratic polynomial of the distance. We derive a spatial decay estimate for backward-in-time problem as well. The proof works only if the cross-section is a finite union of rectangles with axes parallels to \(0x_2\) and \(0x_3\). As a conclusion, we extend the above bound to the heat conduction case. Cited in 1 Document MSC: 74F15 Electromagnetic effects in solid mechanics 74F05 Thermal effects in solid mechanics 35Q72 Other PDE from mechanics (MSC2000) Keywords:comparison arguments; spatial decay bounds; semi-infinite cylindrical region; forward-in-time problem; quadratic polynomial; backward-in-time problem; heat conduction PDFBibTeX XMLCite \textit{R. Quintanilla}, Arch. Mech. 54, No. 3, 245--256 (2002; Zbl 1038.74019)