most citedFormation of shocks for 2D isentropic compressible Euler

22 citations · 22 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2019

Weak solutions of ideal MHD which do not conserve magnetic helicity

Rajendra Beekie, Tristan Buckmaster, Vlad Vicol

We construct weak solutions to the ideal magneto-hydrodynamic (MHD) equations which have finite total energy, and whose magnetic helicity is not a constant function of time. In vie…

math.AP2019★ 22 cited

Formation of shocks for 2D isentropic compressible Euler

Tristan Buckmaster, Steve Shkoller, Vlad Vicol

We consider the 2D isentropic compressible Euler equations, with pressure law $p(ρ) = (\sfrac{1}γ) ρ^γ$, with . We provide an elementary constructive proof of shock formation…

math.AP2017

Onsager's conjecture for admissible weak solutions

Tristan Buckmaster, Camillo De Lellis, László Székelyhidi +1

We prove that given any , a time interval , and given any smooth energy profile , there exists a weak solution of the three-dimensi…