Classical non-mass-preserving solutions of coagulation equations

Escobedo, M.; Velázquez, J.J.L.

doi:10.1016/j.anihpc.2012.03.001

Escobedo, M. ; Velázquez, J.J.L.

Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 589-635.

Résumé

In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists in the loss of mass due to the fact that some of the particles can become infinitely large in finite time.

MR Zbl

DOI : 10.1016/j.anihpc.2012.03.001

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     author = {Escobedo, M. and Vel\'azquez, J.J.L.},
     title = {Classical non-mass-preserving solutions of coagulation equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {589--635},
     publisher = {Elsevier},
     volume = {29},
     number = {4},
     year = {2012},
     doi = {10.1016/j.anihpc.2012.03.001},
     mrnumber = {2948290},
     zbl = {1251.35082},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2012.03.001/}
}

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Escobedo, M.; Velázquez, J.J.L. Classical non-mass-preserving solutions of coagulation equations. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 589-635. doi : 10.1016/j.anihpc.2012.03.001. http://www.numdam.org/articles/10.1016/j.anihpc.2012.03.001/

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