30 citations · 30 across the 3 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2022
Unstable shock formation of the Burgers-Hilbert equation
Ruoxuan Yang
This paper proves the existence of unstable shocks of the Burgers-Hilbert equation conjectured in arXiv:2006.05568. More precisely, we construct smooth initial data with finite $H^…
math.AP2020★ 30 cited
Shock formation for the Burgers-Hilbert equation
Ruoxuan Yang
We prove finite time blowup of the Burgers-Hilbert equation. We construct smooth initial data with finite -norm such that the -norm of the spacial derivative of the…