2 citations · 2 across the 5 of their papers we have counts for
6 papers
Onsager's Conjecture for Ideal Magnetohydrodynamics
Matteo Giardi, László Székelyhidi
For any we construct weak solutions of the ideal MHD equations with , which conserve neither the total energy nor the…
Scalar anomalous dissipation and optimal regularity via iterated homogenization
Jan Burczak, László Székelyhidi, Bian Wu
For any we construct divergence free vector fields in and a sequence of diffusivities such that, for an arbitrary initial datum from a l…
Convex Integration Solutions of Ideal MHD
Matteo Giardi, László Székelyhidi
For any , we construct weak solutions of the Ideal MHD Equations which do not conserve the total kinetic energy, the cross-helicity and lie in $C^γ(\math…
Sobolev mappings of Euclidean space and product structure
Bruce Kleiner, Stefan Müller, László Székelyhidi +1
We consider bounded open connected sets and Sobolev maps , such that for almost every $x…
Rigidity of Euclidean product structure: breakdown for low Sobolev exponents
Bruce Kleiner, Stefan Müller, László Székelyhidi +1
We develop a general toolbox to study solutions of differential inclusions for unbounded sets . A key notion is the concept that a subset of the s…
Anomalous dissipation and Euler flows
Jan Burczak, László Székelyhidi, Bian Wu
We show anomalous dissipation of scalars advected by weak solutions to the incompressible Euler equations with $C^{(\sfrac{1}{3})^-}$ regularity, for an arbitrary initial datum in…