| Abstract: |
| This talk deals with some doubly-nonlinear evolution equation, which is related to fracture mechanics and is also rewritten as an evolutionary variational inequality. This evolution equation is beyond the scope of general theory for doubly-nonlinear equations, since the nonlinear operator acting on the time-derivative is singular as well as degenerate due to irreversible and energy-conservative nature of the problem. The main result of this talk is concerned with the existence of strong solutions complying with three intrinsic qualitative properties, that is, irreversibility, unilateral equilibrium and energy conservation, which were originally introduced in a phase-field model for brittle fracture. |
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