Estimates for one-dimensional dynamical solutions in nonlinear dielectrics (Q1067870)
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scientific article; zbMATH DE number 3930524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for one-dimensional dynamical solutions in nonlinear dielectrics |
scientific article; zbMATH DE number 3930524 |
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Estimates for one-dimensional dynamical solutions in nonlinear dielectrics (English)
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1986
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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.
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initial-boundary value problem
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estimate for growth in time
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Helmholtz free energy
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one-dimensional estimates
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dynamical deformations
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nonlinear dielectric
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Gronwall-type inequality
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energy functional
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number of physical quantities
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