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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.AP2024
Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
Hiroyoshi Mitake, Connor Mooney, Hung V. Tran +2
The level-set curvature G-equation, a well-known model in turbulent combustion, has the following form $G_t + \left(1-d\, \mathrm{dvi}\left({\frac{DG}{|DG|}}\right)\right)_+|DG|+V(…