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Attractors for processes on time-dependent spaces

Grant number: 19/27717-9
Support type:Scholarships in Brazil - Master
Effective date (Start): July 01, 2020
Effective date (End): February 28, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marcelo José Dias Nascimento
Grantee:Vitória Soares dos Santos
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


The main of this master's degree project is to study of non-autonomous parabolic/hyperbolic partial differential equations. We will study the notion of time-dependent attractor for process $U(t,\tau): X_{\tau} \to X_{t}$ exploiting the minimality with respect to the pullback attraction property. Finally, we will applied the abstract results to study the longterm behavior of wave equations with time- dependent speed of propagation. (AU)

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