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Nonlinear Geometric Flows: Singularity analysis, ancient solutions and regularity — NSF Award to Columbia University (NY, $199,056

Some of the most important problems in mathematics and physics are related to the understanding of singularities. These are anomalies in the behavior of a physical quantity where the norm that is used to measure such quantities breaks up. It may be related to the understanding of turbulence, of black holes, the accumul

Award titleNonlinear Geometric Flows: Singularity analysis, ancient solutions and regularity
Award ID2454018
AwardeeColumbia University
CityNEW YORK
StateNY
Amount obligated$199,056
Principal investigatorPanagiota Daskalopoulos
ProgramANALYSIS PROGRAM
Start date09/01/2025
AbstractSome of the most important problems in mathematics and physics are related to the understanding of singularities. These are anomalies in the behavior of a physical quantity where the norm that is used to measure such quantities breaks up. It may be related to the understanding of turbulence, of black holes, the accumulation of cancer cells in human bodies, or the behavior of neurons in the brain. These phenomena are often described mathematically via a differential equation which involves time a
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