Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit
Kondratiev YG, Kuna T, Oliveira MJ, da Silva JL, Streit L (2024)
In: From Particle Systems to Partial Differential Equations (PSPDE 2022) . Springer Proceedings in Mathematics and Statistics, 465. Cham: Springer : 149-185.
Konferenzbeitrag
| Veröffentlicht | Englisch
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Autor*in
Kondratiev, Yuri G.;
Kuna, Tobias;
Oliveira, Maria Joao;
da Silva, José Luís;
Streit, LudwigUniBi 
Einrichtung
Abstract / Bemerkung
An infinite particle system of independent jumping particles in infinite volume is considered. Their construction is recalled, further properties are derived, the relation with hierarchical equations, Poissonian analysis, and second quantization are discussed. The hydrodynamic limit for a general initial distribution satisfying a mixing condition is derived. The long-time asymptotics is computed under an extra assumption. The relation with constructions based on infinite volume limits is discussed.
Stichworte
Infinite particle systems;
Kawasaki dynamics;
Hydrodynamic limit;
Long-time asymptotics
Erscheinungsjahr
2024
Titel des Konferenzbandes
From Particle Systems to Partial Differential Equations (PSPDE 2022)
Serien- oder Zeitschriftentitel
Springer Proceedings in Mathematics and Statistics
Band
465
Seite(n)
149-185
Konferenz
10th International conference on Particle Systems and Partial Differential Equations (PSPDE)
Konferenzort
Braga, Portugal
Konferenzdatum
2022-06-26 – 2022-06-30
ISBN
978-3-031-65197-7,
978-3-031-65195-3,
978-3-031-65194-6
ISSN
2194-1009
Page URI
https://pub.uni-bielefeld.de/record/2999533
Zitieren
Kondratiev YG, Kuna T, Oliveira MJ, da Silva JL, Streit L. Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit. In: From Particle Systems to Partial Differential Equations (PSPDE 2022) . Springer Proceedings in Mathematics and Statistics. Vol 465. Cham: Springer ; 2024: 149-185.
Kondratiev, Y. G., Kuna, T., Oliveira, M. J., da Silva, J. L., & Streit, L. (2024). Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit. From Particle Systems to Partial Differential Equations (PSPDE 2022) , Springer Proceedings in Mathematics and Statistics, 465, 149-185. Cham: Springer . https://doi.org/10.1007/978-3-031-65195-3_7
Kondratiev, Yuri G., Kuna, Tobias, Oliveira, Maria Joao, da Silva, José Luís, and Streit, Ludwig. 2024. “Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit”. In From Particle Systems to Partial Differential Equations (PSPDE 2022) , 465:149-185. Springer Proceedings in Mathematics and Statistics. Cham: Springer .
Kondratiev, Y. G., Kuna, T., Oliveira, M. J., da Silva, J. L., and Streit, L. (2024). “Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit” in From Particle Systems to Partial Differential Equations (PSPDE 2022) Springer Proceedings in Mathematics and Statistics, vol. 465, (Cham: Springer ), 149-185.
Kondratiev, Y.G., et al., 2024. Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit. In From Particle Systems to Partial Differential Equations (PSPDE 2022) . Springer Proceedings in Mathematics and Statistics. no.465 Cham: Springer , pp. 149-185.
Y.G. Kondratiev, et al., “Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit”, From Particle Systems to Partial Differential Equations (PSPDE 2022) , Springer Proceedings in Mathematics and Statistics, vol. 465, Cham: Springer , 2024, pp.149-185.
Kondratiev, Y.G., Kuna, T., Oliveira, M.J., da Silva, J.L., Streit, L.: Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit. From Particle Systems to Partial Differential Equations (PSPDE 2022) . Springer Proceedings in Mathematics and Statistics. 465, p. 149-185. Springer , Cham (2024).
Kondratiev, Yuri G., Kuna, Tobias, Oliveira, Maria Joao, da Silva, José Luís, and Streit, Ludwig. “Results About the Free Kawasaki Dynamics of Continuous Particle Systems in Infinite Volume: Long-time Asymptotics and Hydrodynamic Limit”. From Particle Systems to Partial Differential Equations (PSPDE 2022) . Cham: Springer , 2024.Vol. 465. Springer Proceedings in Mathematics and Statistics. 149-185.
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