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).