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math.AP2023
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…
math.AP2023★ 2 cited
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…
math.AP2023★ 4 cited
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…