A boundary condition with memory in elasticity. (English) Zbl 0971.74014
Summary: We study the stability of solutions of the \(n\)-dimensional nonhomogeneous anisotropic elastic system with memory condition on the boundary. We show that such dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exponentially.
MSC:
| 74B99 | Elastic materials |
| 74G55 | Qualitative behavior of solutions of equilibrium problems in solid mechanics |
| 35Q72 | Other PDE from mechanics (MSC2000) |
| 74E10 | Anisotropy in solid mechanics |
Keywords:
boundary stabilization; boundary condition with memory; stability of solutions; \(n\)-dimensional nonhomogeneous anisotropic elastic system; exponential decayReferences:
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