3 papers
math.PR2019
Hyperbolic scaling limit of non-equilibrium fluctuations for a weakly anharmonic chain
Lu Xu
We consider a chain of coupled oscillators placed on a one-dimensional lattice with periodic boundary conditions. The interaction between particles is determined by a weakly an…
math.AP2019
The Gursky-Streets equation and its application to the Yamabe problem
Weiyong He, Lu Xu, Mingbo Zhang
The Gursky-Streets equation are introduced as the geodesic equation of a metric structure in conformal geometry. This geometric structure has played a substantial role in the proof…
math.PR2018
Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit
Stefano Olla, Lu Xu
We study the evolution in equilibrium of the fluctuations for the conserved quantities of a chain of anharmonic oscillators in the hyperbolic space-time scaling. Boundary condition…