Search Results - "Aryan, Shrey"
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1
Stability of Hardy Littlewood Sobolev inequality under bubbling
Published in Calculus of variations and partial differential equations (01-11-2023)“…In this note we will generalize the results deduced in Figalli and Glaudo (Arch Ration Mech Anal 237(1):201–258, 2020) and Deng et al. (Sharp quantitative…”
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Existence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation
Published 14-10-2020“…$\newcommand\normt[1]{\left\lVert#1\right\rVert_{L^2}} \newcommand\normo[1]{\left\lVert#1\right\rVert_{H^1}}…”
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3
Trend to Equilibrium for Flows With Random Diffusion
Published in International mathematics research notices (22-05-2024)“…Abstract Motivated by the possibility of noise to cure equations of finite-time blowup, the recent work [ 90] by the second and third named authors showed that…”
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4
The Effect of Wind Velocity on the Cooling Rate of Water
Published in International scholastic journal of science (01-01-2016)“…The effect of wind velocity on the cooling rate of water was investigated by blowing air horizontally over the surface of water contained in a plastic…”
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5
Soliton resolution for the energy-critical nonlinear heat equation in the radial case
Published 09-05-2024“…We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension $D\geq 3.$ Thus, every finite energy solution…”
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6
Stability of Hardy Littlewood Sobolev Inequality under Bubbling
Published 26-09-2021“…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…”
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7
Concavity for elliptic and parabolic equations in complex projective space
Published 25-03-2024“…We establish a concavity principle for solutions to elliptic and parabolic equations on complex projective space, generalizing the results of Langford and…”
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Stability of Wu's logarithmic Sobolev inequality via the Poisson-F\"ollmer process
Published 08-10-2024“…We give an alternative proof to Wu's logarithmic Sobolev inequality for the Poisson measure on the nonnegative integers using a stochastic variational formula…”
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9
Trend to equilibrium for flows with random diffusion
Published 06-07-2023“…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…”
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