Author

Ruoyang Liu

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Preprint Jul 2026

Well-posedness and large deviations for the obstacle problem of first-order stochastic conservation laws

This paper studies the obstacle problem for first-order scalar conservation laws driven by multiplicative noise. By adapting a barrier-substitution strategy to the kinetic formulation, we permit the reflection measure to be a general Radon measure and eliminate the usual obstacle-noise compatibility condition. We estab...

Ruoyang Liu, Rangrang Zhang · 0 citations

Preprint Aug 2026

An entropy approach to doubly nonlinear parabolic obstacle problems

This paper studies doubly nonlinear parabolic obstacle problems. We introduce a renormalized entropy formulation in which the reaction measure is encoded by evaluating the entropy multiplier at the obstacle. For diffusion depending only on the gradient and continuous time-independent obstacles, we prove a global $L^1$...

Ruoyang Liu · 0 citations