Publications [#372277] of Alexander J Dunlap

Papers Published

1. Drivas, TD; Dunlap, A; Graham, C; La, J; Ryzhik, L, Invariant measures for stochastic conservation laws on the line, Nonlinearity, vol. 36 no. 9 (September, 2023), pp. 4553-4594 [doi]
   (last updated on 2026/01/16)

   Abstract:
   We consider a stochastic conservation law on the line with solution-dependent diffusivity, a super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type random forcing. We show that this Markov process admits a unique ergodic spatially-homogeneous invariant measure for each mean in a non-explicit unbounded set. This generalises previous work on the stochastic Burgers equation.