2 papers
math.AP2026
Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
Ziran Liu, Hung V. Tran, Yifeng Yu
For , let be the solution of the ergodic problem \[ \frac12 |DÏ^\varepsilon|^2+F(x)-\varepsilonÎÏ^\varepsilon=c(\varepsilon) \qquad \text{on } \m…
math.AP2026
Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations
Ziran Liu, Hung V. Tran, Yifeng Yu
We study the periodic homogenization of the viscous Hamilton--Jacobi equation \[ u_t^\varepsilon + \frac{1}{2}|Du^\varepsilon|^2 + V\!\left(\frac{x}{\varepsilon}\right) = \frac{\va…