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math.AP2025
Continuous-in-time Bubbling for the Energy-Critical Heat Flow
Shrey Aryan
We show that any finite energy solution of the energy-critical nonlinear heat flow in dimensions asymptotically resolves into a sum of possibly time-dependent solitons, a…
math.AP2025
Free energy minimizers with radial densities: classification and quantitative stability
Shrey Aryan, Lauro Silini
We study the isoperimetric problem with a potential energy in weighted by a radial density and analyze the geometric properties of minimizers. Notably, we co…