An example of intrinsic randomness in deterministic PDES

Flandoli F, Gess B, Grotto F (2022)
Stochastics and Dynamics: 2240023.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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DOI
Autor*in
Flandoli, Franco; Gess, BenjaminUniBi; Grotto, Francesco
Einrichtung
SFB 1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
Fakultät für Mathematik
Abstract / Bemerkung
A new mechanism leading to a random version of Burgers' equation is introduced: it is shown that the Totally Asymmetric Exclusion Process in discrete time (TASEP) can be understood as an intrinsically stochastic, non-entropic weak solution of Burgers' equation on R. In this interpretation, the appearance of randomness in the Burgers' dynamics is caused by random additions of jumps to the solution, corresponding to the random effects in TASEP.
Stichworte
Intrinsic randomness; TASEP; Burger's equation; non-entropic solutions
Erscheinungsjahr
2022
Zeitschriftentitel
Stochastics and Dynamics
Art.-Nr.
2240023
ISSN
1793-6799
eISSN
0219-4937
Page URI
https://pub.uni-bielefeld.de/record/2965799

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Flandoli F, Gess B, Grotto F. An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics. 2022: 2240023.
Flandoli, F., Gess, B., & Grotto, F. (2022). An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics, 2240023. https://doi.org/10.1142/S0219493722400238
Flandoli, Franco, Gess, Benjamin, and Grotto, Francesco. 2022. “An example of intrinsic randomness in deterministic PDES”. Stochastics and Dynamics: 2240023.
Flandoli, F., Gess, B., and Grotto, F. (2022). An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics:2240023.
Flandoli, F., Gess, B., & Grotto, F., 2022. An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics, : 2240023.
F. Flandoli, B. Gess, and F. Grotto, “An example of intrinsic randomness in deterministic PDES”, Stochastics and Dynamics, 2022, : 2240023.
Flandoli, F., Gess, B., Grotto, F.: An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics. : 2240023 (2022).
Flandoli, Franco, Gess, Benjamin, and Grotto, Francesco. “An example of intrinsic randomness in deterministic PDES”. Stochastics and Dynamics (2022): 2240023.
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