Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa–Holm system
Author:
Affiliation:
1. Department of Mathematics, Zhejiang Sci-Tech University
2. Department of Applied Mathematics, Illinois Institute of Technology
3. School of Mathematics, Southeast University
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference45 articles.
1. ALBEVERIO, S., BRZEŹNIAK, Z. and DALETSKII, A. (2021). Stochastic Camassa–Holm equation with convection type noise. J. Differential Equations 276 404–432.
2. ALONSO-ORÁN, D. and BETHENCOURT DE LEÓN, A. (2020). On the well-posedness of stochastic Boussinesq equations with transport noise. J. Nonlinear Sci. 30 175–224.
3. ALONSO-ORÁN, D., BETHENCOURT DE LEÓN, A. and TAKAO, S. (2019). The Burgers’ equation with stochastic transport: Shock formation, local and global existence of smooth solutions. NoDEA Nonlinear Differential Equations Appl. 26 Paper No. 57, 33 pp.
4. ARNOLD, L. (2001). Hasselmann’s program revisited: The analysis of stochasticity in deterministic climate models. In Stochastic Climate Models (Chorin, 1999). Progress in Probability 49 141–157. Birkhäuser, Basel.
5. BONA, J. L. and SMITH, R. (1975). The initial-value problem for the Korteweg–de Vries equation. Philos. Trans. R. Soc. Lond. Ser. A 278 555–601.
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