A one-dimensional C^3 example shows that vanishing-viscosity limits for mechanical Hamiltonian ergodic problems may not exist.
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2026 2verdicts
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Sharp O(ε log(1/ε)) global and O(ε) almost-everywhere convergence rates are established for periodic homogenization of viscous quadratic Hamilton-Jacobi equations.
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Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
A one-dimensional C^3 example shows that vanishing-viscosity limits for mechanical Hamiltonian ergodic problems may not exist.
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Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations
Sharp O(ε log(1/ε)) global and O(ε) almost-everywhere convergence rates are established for periodic homogenization of viscous quadratic Hamilton-Jacobi equations.