| Contents |
| This presentation involves an abstract third-order equation motivated by the Moore--Gibson--Thompson Equation arising in high-intensity ultrasound. In its simplest form, the equation (with unbounded free dynamical operator) is not well-posed. However, a suitable change of variables permits one to show that it has a special structural decomposition, with a precise, hyperbolic-dominated part. Significant dynamical properties of the system, including spectral analysis and sharp stability estimates, will be presented and corroborated by numerical simulations. |
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