Weak solutions to ideal MHD on the 3-torus are constructed in C^γ for γ < 1/5 that do not conserve kinetic energy or cross-helicity via convex integration and Lie-algebra geometry.
Anomalous dissipation and Euler flows, 2023
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
$C^{1/5^{-}}$ Convex Integration Solutions of Ideal MHD
Weak solutions to ideal MHD on the 3-torus are constructed in C^γ for γ < 1/5 that do not conserve kinetic energy or cross-helicity via convex integration and Lie-algebra geometry.