Artículo

Arnold, A.; Carrillo, J.A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P.A.; Toscani, G.; Villani, C. "Entropies and equilibria of many-particle systems: An essay on recent research" (2004) Monatshefte fur Mathematik. 142(1-2):35-43
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Abstract:

This essay is intended to present a fruitful collaboration which has developed among a group of people whose names are listed above: entropy methods have proved over the last years to be an efficient tool for the understanding of the qualitative properties of physically sound models, for accurate numerics and for a more mathematical understanding of nonlinear PDEs. The goal of this essay is to sketch the historical development of the concept of entropy in connection with PDEs of continuum mechanics, to present recent results which have been obtained by the members of the group and to emphasize the most striking achievements of this research. The presentation is by no way an exhaustive review of the methods and results involving the entropy, not even in the field of PDEs. Many other researchers in and outside Europe have contributed to the development of this field, including - but not only - in collaboration with some of the people of the group. However, it can be claimed that this group had a leading role over the recent years and this essay is intended to explain how this occurred.

Registro:

Documento: Artículo
Título:Entropies and equilibria of many-particle systems: An essay on recent research
Autor:Arnold, A.; Carrillo, J.A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P.A.; Toscani, G.; Villani, C.
Filiación:Universität Münster, Germany
Univ. Autónoma de Barcelona, Spain
Ecl. Normale Sup. de Cachan, France
Université Paris IX Dauphine, France
Universität Mainz, Germany
Universidad de Buenos Aires, Argentina
University of Vienna, Australia
University of Pavia, Italy
Ecl. Normale Sup. de Lyon, France
Inst. für Numerische Mathematik, Universität Münster, D-48149 Münster, Germany
ICREA, Departamento de Matemática, Univ. Autónoma de Barcelona, 08193-Bellaterra, Spain
Ecl. Normale Sup. de Cachan, 61, avenue du President Wilson, 94235 Cachan, France
Ceremade, Université Paris IX Dauphine, Place de Lattre de Tassigny, F-75775 Paris, France
Fb. Mathematik und Informatik, Universität Mainz, Germany
Departamento de Matemática, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Faculty of Mathematics, Nordbergstrasse 15, Vienna, Austria
Department of Mathematics, University of Pavia, via Ferrata 1, 27100 Pavia, Italy
Ecl. Normale Sup. de Lyon, 46 Allée d'Italie, F-69364 Lyon, France
Palabras clave:Entropy; Entropy production; Large-time behavior
Año:2004
Volumen:142
Número:1-2
Página de inicio:35
Página de fin:43
DOI: http://dx.doi.org/10.1007/s00605-004-0239-2
Título revista:Monatshefte fur Mathematik
Título revista abreviado:Monatsh. Math.
ISSN:00269255
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v142_n1-2_p35_Arnold

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Citas:

---------- APA ----------
Arnold, A., Carrillo, J.A., Desvillettes, L., Dolbeault, J., Jüngel, A., Lederman, C., Markowich, P.A.,..., Villani, C. (2004) . Entropies and equilibria of many-particle systems: An essay on recent research. Monatshefte fur Mathematik, 142(1-2), 35-43.
http://dx.doi.org/10.1007/s00605-004-0239-2
---------- CHICAGO ----------
Arnold, A., Carrillo, J.A., Desvillettes, L., Dolbeault, J., Jüngel, A., Lederman, C., et al. "Entropies and equilibria of many-particle systems: An essay on recent research" . Monatshefte fur Mathematik 142, no. 1-2 (2004) : 35-43.
http://dx.doi.org/10.1007/s00605-004-0239-2
---------- MLA ----------
Arnold, A., Carrillo, J.A., Desvillettes, L., Dolbeault, J., Jüngel, A., Lederman, C., et al. "Entropies and equilibria of many-particle systems: An essay on recent research" . Monatshefte fur Mathematik, vol. 142, no. 1-2, 2004, pp. 35-43.
http://dx.doi.org/10.1007/s00605-004-0239-2
---------- VANCOUVER ----------
Arnold, A., Carrillo, J.A., Desvillettes, L., Dolbeault, J., Jüngel, A., Lederman, C., et al. Entropies and equilibria of many-particle systems: An essay on recent research. Monatsh. Math. 2004;142(1-2):35-43.
http://dx.doi.org/10.1007/s00605-004-0239-2