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<div class="csl-entry">Davoli, E., Rocca, E., Scarpa, L., & Trussardi, L. (2023, November 6). <i>Local asymptotics and optimal control for nonlocal Cahn-Hilliard systems</i> [Presentation]. Workshop on Nonlinear Partial Differential Equations 2023, Salzburg, Austria. http://hdl.handle.net/20.500.12708/192368</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/192368
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dc.description.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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dc.language.iso
en
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dc.subject
Nonlocal Cahn-Hilliard systems
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dc.subject
tumor growth modeling
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dc.subject
optimal control
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dc.title
Local asymptotics and optimal control for nonlocal Cahn-Hilliard systems
