Invariant measures for stochastic conservation laws on the line
Publication
, Journal Article
Drivas, TD; Dunlap, A; Graham, C; La, J; Ryzhik, L
Published in: Nonlinearity
September 1, 2023
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.
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Published In
Nonlinearity
DOI
EISSN
1361-6544
ISSN
0951-7715
Publication Date
September 1, 2023
Volume
36
Issue
9
Start / End Page
4553 / 4594
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
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Drivas, T. D., Dunlap, A., Graham, C., La, J., & Ryzhik, L. (2023). Invariant measures for stochastic conservation laws on the line. Nonlinearity, 36(9), 4553–4594. https://doi.org/10.1088/1361-6544/acdb3a
Drivas, T. D., A. Dunlap, C. Graham, J. La, and L. Ryzhik. “Invariant measures for stochastic conservation laws on the line.” Nonlinearity 36, no. 9 (September 1, 2023): 4553–94. https://doi.org/10.1088/1361-6544/acdb3a.
Drivas TD, Dunlap A, Graham C, La J, Ryzhik L. Invariant measures for stochastic conservation laws on the line. Nonlinearity. 2023 Sep 1;36(9):4553–94.
Drivas, T. D., et al. “Invariant measures for stochastic conservation laws on the line.” Nonlinearity, vol. 36, no. 9, Sept. 2023, pp. 4553–94. Scopus, doi:10.1088/1361-6544/acdb3a.
Drivas TD, Dunlap A, Graham C, La J, Ryzhik L. Invariant measures for stochastic conservation laws on the line. Nonlinearity. 2023 Sep 1;36(9):4553–4594.
Published In
Nonlinearity
DOI
EISSN
1361-6544
ISSN
0951-7715
Publication Date
September 1, 2023
Volume
36
Issue
9
Start / End Page
4553 / 4594
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics