Existence of martingale solutions for stochastic flocking models with local alignment

Author:

Debussche ArnaudORCID,Rosello Angelo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference20 articles.

1. Ahn, S., Ha, S.: Stochastic flocking dynamics of the cucker-smale model with multiplicative white noises. J. Math. Phys. 51(10), 103301 (2010)

2. Bouchut, F., Desvillettes, L.: Averaging lemmas without time fourier transform and application to discretized kinetic equations. Proc. R. Soc. Edinb.: Sect. A Math. 129(1), 19–36 (1999)

3. Burkholder, D., Davis, B., Gundy, R.: Integral inequalities for convex functions of operators on martingales. In: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Probability Theory, pages 223–240, Berkeley, Calif., (1972). University of California Press

4. Choi, Y., Salem, S.: Cucker-smale flocking particles with multiplicative noises: Stochastic mean-field limit and phase transition. Kinet. & Relat. Models 12, 11 (2017)

5. Coghi, M., Flandoli, F.: Propagation of chaos for interacting particles subject to environmental noise. Ann. Appl. Probab. 26, 03 (2014)

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