ICTP ANALYSIS SEMINAR next Monday at 14:00 - Damião Araújo

[ICTP Math Section]

ICTP Analysis seminars - 2024


Monday, 18 November 2024, at 14:00


*_Venue: Fibonacci Lecture Room - Galileo Guest House_*

Speaker: Damião Araújo (UFPB, Brazil)



*Title: Interacting Free Boundaries in Dead-Core Systems*

_Abstract:_ This talk explores dead-core type problems, where certain 
regions within a process or reaction become inactive, forming "dead 
zones”. Such models are valuable for understanding phenomena like the 
spread of contaminants that stop after reaching specific areas or parts 
of a chemical reaction that slow down due to a lack of reactants. We 
study systems of partial differential equations, focusing on how certain 
properties generate a “chain reaction” effect that enhances the 
precision in describing the behavior at the boundaries of these inactive 
zones, known as free boundaries.
This is joint work with Rafayel Teymurazyan (KAUST, Saudi Arabia, and 
Universidade de Coimbra, Portugal).