4 papers
An entropy approach to doubly nonlinear parabolic obstacle problems
Ruoyang Liu
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…
Well-posedness and large deviations for the obstacle problem of first-order stochastic conservation laws
Ruoyang Liu, Rangrang Zhang
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 formulat…
Well-posedness of the obstacle problem for generalized Dean-Kawasaki equation
Ruoyang Liu, Rangrang Zhang
We investigate the obstacle problem for generalized Dean--Kawasaki equations driven by correlated conservative noise, establishing the existence, uniqueness, and -stability of…
Well-posedness of the obstacle problem for stochastic nonlinear diffusion equations: an entropy formulation
Kai Du, Ruoyang Liu
In this paper, we establish the existence, uniqueness and stability results for the obstacle problem associated with a degenerate nonlinear diffusion equation perturbed by conserva…