Central limit theorem and moderate deviation principle for stochastic scalar conservation laws

Wu Z, Zhang R (2022)
Journal of Mathematical Analysis and Applications 516(1): 126445.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Wu, ZhengyanUniBi; Zhang, Rangrang
Abstract / Bemerkung
We establish a central limit theorem and prove a moderate deviation principle for stochastic scalar conservation laws. Because of the lack of a viscous term, this is done in the framework of the kinetic solution. The weak convergence method and the doubling of variables method play a key role. (c) 2022 Elsevier Inc. All rights reserved.
Stichworte
Stochastic scalar conservation laws; Weak convergence method; Doubling; of variables method; Central limit theorem; Moderate deviation; principle; Kinetic solution
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Mathematical Analysis and Applications
Band
516
Ausgabe
1
Art.-Nr.
126445
ISSN
0022-247X
eISSN
1096-0813
Page URI
https://pub.uni-bielefeld.de/record/2966114

Zitieren

Wu Z, Zhang R. Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications. 2022;516(1): 126445.
Wu, Z., & Zhang, R. (2022). Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications, 516(1), 126445. https://doi.org/10.1016/j.jmaa.2022.126445
Wu, Zhengyan, and Zhang, Rangrang. 2022. “Central limit theorem and moderate deviation principle for stochastic scalar conservation laws”. Journal of Mathematical Analysis and Applications 516 (1): 126445.
Wu, Z., and Zhang, R. (2022). Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications 516:126445.
Wu, Z., & Zhang, R., 2022. Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications, 516(1): 126445.
Z. Wu and R. Zhang, “Central limit theorem and moderate deviation principle for stochastic scalar conservation laws”, Journal of Mathematical Analysis and Applications, vol. 516, 2022, : 126445.
Wu, Z., Zhang, R.: Central limit theorem and moderate deviation principle for stochastic scalar conservation laws. Journal of Mathematical Analysis and Applications. 516, : 126445 (2022).
Wu, Zhengyan, and Zhang, Rangrang. “Central limit theorem and moderate deviation principle for stochastic scalar conservation laws”. Journal of Mathematical Analysis and Applications 516.1 (2022): 126445.
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