Matteo Giardi

collaborators

3 papers

math.AP2026

Onsager's Conjecture for Ideal Magnetohydrodynamics

Matteo Giardi, László Székelyhidi

For any $0 \leq γ < 1/3$ we construct weak solutions $(v, B, p)$ of the ideal MHD equations with $v, B \in C^{γ} (T^{3} \times R)$ , which conserve neither the total energy nor the…

math.AP2026

Ideal MHD below the classical well-posedness threshold

Matteo Giardi

We establish local existence and uniqueness of solutions for the ideal incompressible magnetohydrodynamics system posed on $[0, T] \times R^{n}$ , $n \geq 2$ , with a nonzero consta…

math.AP2026

$C^{1/ 5^{-}}$ Convex Integration Solutions of Ideal MHD

Matteo Giardi, László Székelyhidi

For any $0 \leq γ < 1/5$ , we construct weak solutions $(v, B, p)$ of the Ideal MHD Equations which do not conserve the total kinetic energy, the cross-helicity and lie in $C^γ(\math…

Onsager's Conjecture for Ideal Magnetohydrodynamics

Ideal MHD below the classical well-posedness threshold

C1/5− Convex Integration Solutions of Ideal MHD

$C^{1/ 5^{-}}$ Convex Integration Solutions of Ideal MHD