12 citations · 34 across the 12 of their papers we have counts for
12 papers
Equilibrium perturbations for stochastic interacting systems
Lu Xu, Linjie Zhao
We consider the equilibrium perturbations for two stochastic systems: the -dimensional generalized exclusion process and the one-dimensional chain of anharmonic oscillators. We…
Hydrodynamics for one-dimensional ASEP in contact with a class of reservoirs
Lu Xu
We study the hydrodynamic behaviour of the asymmetric simple exclusion process on the lattice of size . In the bulk, the exclusion dynamics performs rightward flux. At the bound…
Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries
Lu Xu
We consider the asymmetric simple exclusion process (ASEP) on the one-dimensional finite lattice . The particles can be created/annihilated at the boundaries with…
Quasi-static limit for the asymmetric simple exclusion
Anna De Masi, Stefano Marchesani, Stefano Olla +1
We study the one-dimensional asymmetric simple exclusion process on the lattice with creation/annihilation at the boundaries. The boundary rates are time dependent…
Quasi-static limit for a hyperbolic conservation law
Stefano Marchesani, Stefano Olla, Lu Xu
We study the quasi-static limit for the entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boun…
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…
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…
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…
A central limit theorem for stochastic heat equations in random environment
Lu Xu
In this article, we investigate the asymptotic behavior of the solution to a one-dimensional stochastic heat equation with random nonlinear term generated by a stationary, ergodic…
An invariance principle for stochastic heat equations with periodic coefficients
Lu Xu
We investigate the asymptotic behaviors of the solution to a stochastic heat equation with a periodic, gradient-type nonlinear term. We extend the central limit theor…
KAM for Hamiltonian partial differential equations with weaker Spectral Asymptotics
Yong Li, Lu Xu
In this paper, we establish an abstract infinite dimensional KAM theorem dealing with normal frequencies in weaker spectral asymptotics Ω_{i}(ξ)=i^d+o(i^{d})+o(i^δ), where $d>0, δ<…
Two problems related to prescribed curvature measures
Yong Huang
Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. In surprise, that…