Nonuniqueness with local conservation for the hard-sphere Boltzmann equation
What the paper claims, in its own words
Constructs two distinct global entropy solutions of the three-dimensional periodic hard-sphere Boltzmann equation from the same nonnegative initial density, with bounded velocity support and finite mass, energy and absolute entropy. Both are strongly continuous in L1 and satisfy exact local conservation of mass, momentum and kinetic energy.
The plain-language explainer for this entry is still coming.