| Abstract: |
| In this talk, we study the long-time dynamics of a Cahn-Hilliard tumor growth model with chemotaxis, focusing on the structure and stability of its global attractors. Using a \L{}ojasiewicz-Simon type inequality, we analyze the asymptotic behavior of trajectories and show that solutions converge to stationary states. This allows us to describe the geometric structure of the global attractor in terms of stationary solutions. We also investigate the stability of the attractor with respect to perturbations of the chemotaxis parameter and establish continuity properties of the attractors under suitable assumptions. |
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