T. Buckmaster

activity

20112026

most citedTransporting microstructure and dissipative Euler flows

23 citations · 129 across the 19 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data

Tristan Buckmaster, Theodore D. Drivas, Steve Shkoller +1

A fundamental question in fluid dynamics concerns the formation of discontinuous shock waves from smooth initial data. We prove that from smooth initial data, smooth solutions to t…

math.AP2021

Non-conservative $H^{\frac{1}{2} -}$ weak solutions of the incompressible 3D Euler equations

Tristan Buckmaster, Nader Masmoudi, Matthew Novack +1

For any positive regularity parameter $β < \frac{1}{2}$ , we construct non-conservative weak solutions of the 3D incompressible Euler equations which lie in $H^{β}$ uniformly in time. In…

Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data

Non-conservative H21​− weak solutions of the incompressible 3D Euler equations

Non-conservative $H^{\frac{1}{2} -}$ weak solutions of the incompressible 3D Euler equations