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math.AP2021
Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations
Igor Kukavica, Matthew Novack, Vlad Vicol
We address the problem of controllability of the MHD system in a rectangular domain with a control prescribed on the side boundary. We identify a necessary and sufficient condition…
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…