This $145,617 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on the mathematical and physical properties of partial differential equations (PDEs) modeling processes with interfaces, degenerate regions, and convexity/concavity. The award recipient, Northwestern University, will investigate key qualitative and quantitative characteristics of PDE models for gas diffusion, liquid droplets, and electric transmission in composite materials. This work aims to advance understanding of interfaces, degeneracies, and convexity/concavity in these PDE models, with potential implications for material failure analysis in engineering. The project will also provide research training opportunities for students and postdoctoral scholars. No sub-awards are planned under this grant.
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