Invariant measures for stochastic conservation laws on the line
نویسندگان
چکیده
Abstract We consider a stochastic conservation law on the line with solution-dependent diffusivity, super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type random forcing. show that this Markov process admits unique ergodic invariant measure for each mean in non-explicit unbounded set. This generalises previous work Burgers equation.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2023
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/acdb3a