Artículo
Clark Di Leoni, P.; Mininni, P.D.; Brachet, M.E. "Dynamics of partially thermalized solutions of the Burgers equation" (2018) Physical Review Fluids. 3(1)
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Abstract:
The spectrally truncated, or finite dimensional, versions of several equations of inviscid flows display transient solutions which match their viscous counterparts, but which eventually lead to thermalized states in which energy is in equipartition between all modes. Recent advances in the study of the Burgers equation show that the thermalization process is triggered after the formation of sharp localized structures within the flow called "tygers." We show that the process of thermalization first takes place in well defined subdomains, before engulfing the whole space. Using spatio-temporal analysis on data from numerical simulations, we study propagation of tygers and find that they move at a well defined mean speed that can be obtained from energy conservation arguments. © 2018 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Dynamics of partially thermalized solutions of the Burgers equation |
| Autor: | Clark Di Leoni, P.; Mininni, P.D.; Brachet, M.E. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IFIBA, CONICET, Ciudad Universitaria, Buenos Aires, 1428, Argentina Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, Rome, 00133, Italy Laboratoire de Physique Statistique, École Normale Supérieure, PSL Research University, UPMC Univ Paris 06, Sorbonne Universités; Université Paris Diderot, Sorbonne Paris-Cité, CNRS, 24 Rue Lhomond, Paris, 75005, France |
| Palabras clave: | Data flow analysis; Burgers equations; Finite dimensional; Inviscid flows; Localized structures; Spatiotemporal analysis; Thermalization; Thermalization process; Transient solutions; Partial differential equations |
| Año: | 2018 |
| Volumen: | 3 |
| Número: | 1 |
| DOI: | http://dx.doi.org/10.1103/PhysRevFluids.3.014603 |
| Título revista: | Physical Review Fluids |
| Título revista abreviado: | Phys. Rev. Fluids |
| ISSN: | 2469990X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_2469990X_v3_n1_p_ClarkDiLeoni |
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Citas:
---------- APA ----------
Clark Di Leoni, P., Mininni, P.D. & Brachet, M.E. (2018) . Dynamics of partially thermalized solutions of the Burgers equation. Physical Review Fluids, 3(1).http://dx.doi.org/10.1103/PhysRevFluids.3.014603
---------- CHICAGO ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E. "Dynamics of partially thermalized solutions of the Burgers equation" . Physical Review Fluids 3, no. 1 (2018).http://dx.doi.org/10.1103/PhysRevFluids.3.014603
---------- MLA ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E. "Dynamics of partially thermalized solutions of the Burgers equation" . Physical Review Fluids, vol. 3, no. 1, 2018.http://dx.doi.org/10.1103/PhysRevFluids.3.014603
---------- VANCOUVER ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E. Dynamics of partially thermalized solutions of the Burgers equation. Phys. Rev. Fluids. 2018;3(1).http://dx.doi.org/10.1103/PhysRevFluids.3.014603
