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Craine, R. E.

Estimates for one-dimensional dynamical solutions in nonlinear dielectrics. (English) Zbl 0581.73111

Int. J. Eng. Sci. 24, 859-863 (1986).
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.

Cited in 2 Documents

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 quantities
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References:

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