Redistribution of Damping in Viscoelasticity |
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| Authors: | Constantine M Dafermos |
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| Institution: | 1. Division of Applied Mathematics , Brown University , Providence , Rhode Island , USA dafermos@dam.brown.edu |
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| Abstract: | Physically admissible, global BV solutions are constructed to the Cauchy problem for the equations of one-dimensional, nonlinear viscoelasticity of the Boltzmann type. The required BV bounds are derived with the help of energy estimates, in conjunction with a change of variables that redistributes the damping on an equitable basis among the equations of the system, thus exposing the dissipative effect of viscosity on the variation of solutions. |
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| Keywords: | BV solutions Viscoelasticity |
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