7 citations · 8 across the 15 of their papers we have counts for
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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…
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…
Soliton resolution for the energy-critical nonlinear heat equation in the radial case
Shrey Aryan
We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension Thus, every finite energy solution resolves, continuously in…
Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature
Shrey Aryan, Michael B. Law
We establish a concavity principle for solutions to elliptic and parabolic equations on locally symmetric spaces with nonnegative sectional curvature, extending the results of Lang…
Trend to equilibrium for flows with random diffusion
Shrey Aryan, Matthew Rosenzweig, Gigliola Staffilani
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:2109.09892 by the second and third named authors showed that with quantifiable high…
Stability of Hardy Littlewood Sobolev Inequality under Bubbling
Shrey Aryan
In this note we will generalize the results deduced in arXiv:1905.08203 and arXiv:2103.15360 to fractional Sobolev spaces. In particular we will show that for , …
Existence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation
Shrey Aryan
We consider the…