Vikram Giri

Papers

• A Spectral Gap for Spinors on Hyperbolic Surfaces
  with A. Adve
  Preprint, (2024) (preliminary version)
  
  
• Non-uniqueness of Hölder continuous solutions for Inhomogeneous Incompressible Euler flows
  with U. Koley
  Preprint, (2024) (arXiv)
  
  
• An Onsager-type theorem for SQG
  with M. Dai and R-O. Radu
  Preprint, (2024) (arXiv)
  
  
• Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
  with A. Abdurrahman, A. Adve, B. Lowe and J. Zung
  Preprint, (2024) (arXiv)
  
  
• The L^3-based strong Onsager theorem
  with H. Kwon and M. Novack
  Preprint, (2023) (arXiv)
  
  
• A wavelet-inspired L^3-based convex integration framework for the Euler equations
  with H. Kwon and M. Novack
  Annals of PDE, 10, 19 (2024) (arXiv) (journal)
  
  
• The Onsager conjecture in 2D: a Newton-Nash iteration
  with R-O. Radu
  Inventiones mathematicae, 238, 691-768 (2024) (arXiv) (journal)
  
  
• A step towards the tensorization of Sobolev spaces
  with S. Ghinassi and E. Negrini
  Preprint, (2023) (arXiv)
  
  
• On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations
  with H. Kwon
  Archive for Rational Mechanics and Analysis, 245, 1213–1283 (2022) (arXiv) (journal)
  
  
• Non-uniqueness of integral curves for autonomous Hamiltonian vector fields
  with M. Sorella
  Differential and Integral Equations, 35(7/8): 411-436 (2022) (arXiv) (journal)
  
  
• Smoothing does not give a selection principle for transport equations with bounded autonomous fields
  with C. De Lellis
  Annales mathématiques du Québec, 46, 27–39 (2022) (arXiv)(journal)

Lecture Notes

• Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik
  with D. Albritton, E. Brué, M. Colombo, C. De Lellis, M. Janisch and H. Kwon
  Annals of Mathematics Studies, 219 (arXiv)(book)