7 citations · 13 across the 15 of their papers we have counts for
16 papers
On Aviles-Giga limit states with entropy productions
Xavier Lamy, Andrew Lorent, Guanying Peng
The Aviles-Giga energy provides sequences of maps converging to weak solutions of the eikonal equation \begin{align*} \mathrm{div}\, m=0\…
Another regularizing property of the 2D eikonal equation
Xavier Lamy, Andrew Lorent, Guanying Peng
A weak solution of the two-dimensional eikonal equation amounts to a vector field such that a.e. and in $\mat…
Nonexistence of a class of configurations for a hyperbolic system with one entropy
Guanying Peng, Anthony Vuolo
In Kirchheim, Müller and Šverák [Studying nonlinear PDE by geometry in matrix space. Geometric analysis and nonlinear partial differential equations, 2003], the authors proposed th…
On regularity and rigidity of differential inclusions into non-elliptic curves
Xavier Lamy, Andrew Lorent, Guanying Peng
We study differential inclusions in an open set , where is a compact connected curve without rank-one connecti…
Quantitative rigidity of differential inclusions in two dimensions
Xavier Lamy, Andrew Lorent, Guanying Peng
For any compact connected one-dimensional submanifold which has no rank-one connection and is elliptic, we prove the quantitative rigidity estimate…
On optimal regularity estimates for finite-entropy solutions of scalar conservation laws
Xavier Lamy, Andrew Lorent, Guanying Peng
We consider finite-entropy solutions of scalar conservation laws , that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Unde…