On self-similarity and stationary problem for fragmentation and coagulation models
Article Properties
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DOI (url)
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Publication Date2005/02/01
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Indian UGC (journal)
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Refrences44
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Citations91
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M. Escobedo Departamento de Matemáticas, Universidad del País Vasco, Apartado 644 Bilbao 48080, Spain
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S. Mischler Ceremade, Université Paris IX-Dauphine, place du Mal DeLattre de Tasigny, Paris 75016, France
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M. Rodriguez Ricard Facultad de Matemática y Computación, Universidad de La Habana, C. Habana 10400, Cuba
Cite
Escobedo, M., et al. “On Self-Similarity and Stationary Problem for Fragmentation and Coagulation Models”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 22, no. 1, 2005, pp. 99-125, https://doi.org/10.1016/j.anihpc.2004.06.001.
Escobedo, M., Mischler, S., & Rodriguez Ricard, M. (2005). On self-similarity and stationary problem for fragmentation and coagulation models. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 22(1), 99-125. https://doi.org/10.1016/j.anihpc.2004.06.001
Escobedo, M., S. Mischler, and M. Rodriguez Ricard. “On Self-Similarity and Stationary Problem for Fragmentation and Coagulation Models”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 22, no. 1 (2005): 99-125. https://doi.org/10.1016/j.anihpc.2004.06.001.
Escobedo M, Mischler S, Rodriguez Ricard M. On self-similarity and stationary problem for fragmentation and coagulation models. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2005;22(1):99-125.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss | Journal of Mathematical Analysis and Applications |
| 22 | 2004 |
| On the Boltzmann Equation for Diffusively Excited Granular Media | Communications in Mathematical Physics |
| 85 | 2004 |
| On small masses in self-similar fragmentations | Stochastic Processes and their Applications |
| 12 | 2004 |
| Scaling theory and exactly solved models in the kinetics of irreversible aggregation | 2003 | |||
| Gelation and mass conservation in coagulation–fragmentation models | Journal of Differential Equations |
| 2003 |
Refrences Analysis
The category
Science: Mathematics 19
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Statistical Physics and Stochastic Processes and their Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Fast fusion in a two-dimensional coagulation model | Journal de Mathématiques Pures et Appliquées |
| 2024 | |
Long-time asymptotics for coagulation equations with injection that do not have stationary solutions | Archive for Rational Mechanics and Analysis |
| 2023 | |
Non-equilibrium Stationary Solutions for Multicomponent Coagulation Systems with Injection | Journal of Statistical Physics |
| 2023 | |
Generalized Moment Method for Smoluchowski Coagulation Equation and Mass Conservation Property | Mathematics |
| 2023 | |
Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations | Mathematics in Engineering | 1 | 2022 |
Citations Analysis
The category
Science: Mathematics 72
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Steady States for a Coagulation-Fragmentation Equation with Volume Scattering and was published in 2005. The most recent citation comes from a 2024 study titled Fast fusion in a two-dimensional coagulation model. This article reached its peak citation in 2021, with 10 citations. It has been cited in 47 different journals, 14% of which are open access. Among related journals, the Journal of Statistical Physics cited this research the most, with 11 citations. The chart below illustrates the annual citation trends for this article.