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CAREER: Homogenization and Free Boundary Problems — NSF Award to Auburn University (AL, $232,525)

Partial Differential Equations (PDE) of parabolic type are central to mathematical analysis, with extensive applications in physics, finance, biology, and other fields. The research in this project focuses on three types of PDEs: reaction-diffusion equations, Hele-Shaw type flows, and chemotaxis systems. These equation

Award titleCAREER: Homogenization and Free Boundary Problems
Award ID2440215
AwardeeAuburn University
CityAUBURN
StateAL
Amount obligated$232,525
Principal investigatorYuming Zhang
ProgramEPSCoR Co-Funding, ANALYSIS PROGRAM
Start date02/15/2025
AbstractPartial Differential Equations (PDE) of parabolic type are central to mathematical analysis, with extensive applications in physics, finance, biology, and other fields. The research in this project focuses on three types of PDEs: reaction-diffusion equations, Hele-Shaw type flows, and chemotaxis systems. These equations capture the evolution of diffusive processes, such as tumor growth, forest fire propagation, chemical diffusion, and crowd motion. The project aims to advance understanding of th
SourceNSF Awards

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