Davoli, E., Rocca, E., Scarpa, L., & Trussardi, L. (2023, November 6). Local asymptotics and optimal control for nonlocal Cahn-Hilliard systems [Presentation]. Workshop on Nonlinear Partial Differential Equations 2023, Salzburg, Austria.
Workshop on Nonlinear Partial Differential Equations 2023
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Event date:
6-Nov-2023 - 7-Nov-2023
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Event place:
Salzburg, Austria
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Keywords:
Nonlocal Cahn-Hilliard systems; tumor growth modeling; optimal control
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Abstract:
In this talk, we will consider a class of nonlocal Cahn-Hilliard equations both with Dirichlet and with Neumann boundary conditions for the chemical potential. After discussing local asymptotics in different settings, we will specify our analysis to a tumor growth model coupling a viscous Cahn-Hilliard equation describing the tumor proportion with a reaction-diffusion equation for the nutrient phase parameter. In particular, we will discuss first-order optimality conditions for suitable associated optimal control problems. This is based on a series of joint works with H. Ranetbauer, E. Rocca (Pavia), L. Scarpa (Milan), and L. Trussardi (Graz).
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Research Areas:
Modeling and Simulation: 50% Fundamental Mathematics Research: 50%
