| Abstract: |
| In most of the existing works on partial differential equations of hyperbolic type, vibrations or oscillations are assumed to be small in a certain sense. Whilst this is acceptable in many situations, it may be considered as a severe simplification in other situations. Indeed, the obtained simpified models are much simpler but may be far away from the reality in case of large amplitudes. In this presentation, we will briefly discuss some evolution problems with large amplitudes. The main difficulties will be highlighted and some new elements will be put forward. |
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