no code implementations • 8 Mar 2021 • Robin Ming Chen, Alexis F. Vasseur, Cheng Yu
In dimension $n=2$ and $3$, we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions to the isentropic Euler system whenever $1<\gamma\leq 1+\frac2n$.
Analysis of PDEs 35Q31, 76N10, 35L65
no code implementations • 26 Feb 2021 • Robin Ming Chen, Samuel Walsh
We prove that all of these waves are (conditionally) orbitally stable in the natural energy space.
Analysis of PDEs
