Estimates for one-dimensional dynamical solutions in nonlinear dielectrics. (English) Zbl 0581.73111
The equations for dynamical deformations of a nonlinear dielectric are stated. A Gronwall-type inequality for an energy functional is derived and, with certain additional assumptions, estimates are obtained for a number of physical quantities.
MSC:
74F15 | Electromagnetic effects in solid mechanics |
39B72 | Systems of functional equations and inequalities |
Keywords:
initial-boundary value problem; estimate for growth in time; Helmholtz free energy; one-dimensional estimates; dynamical deformations; nonlinear dielectric; Gronwall-type inequality; energy functional; number of physical quantitiesReferences:
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