10 citations · 24 across the 10 of their papers we have counts for
5 papers · 1 filter
The -based strong Onsager theorem
Vikram Giri, Hyunju Kwon, Matthew Novack
In this work, we prove the -based strong Onsager conjecture for the three-dimensional Euler equations. Our main theorem states that there exist weak solutions which dissipate…
A wavelet-inspired -based convex integration framework for the Euler equations
Vikram Giri, Hyunju Kwon, Matthew Novack
In this work, we develop a wavelet-inspired, -based convex integration framework for constructing weak solutions to the three-dimensional incompressible Euler equations. The m…
The Onsager conjecture in 2D: a Newton-Nash iteration
Vikram Giri, Razvan-Octavian Radu
For any , we construct a nontrivial weak solution to the two-dimensional, incompressible Euler equations, which has compact support in time and satisfies $u\in C^γ(\math…
A step towards the tensorization of Sobolev spaces
Silvia Ghinassi, Vikram Giri, Elisa Negrini
We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequalit…
The structure of Lonely Runner spectra
Vikram Giri, Noah Kravitz
For each subtorus of , let denote the (infimal) -distance from to the point . The -th Lonely Runner spectr…