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Existence globale pour l'équation de Smoluchowski continue non homogène et comportement asymptotique des solutions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mischler, Stéphane Ricard, Mariano Rodriguez |
| Copyright Year | 2003 |
| Abstract | We prove global existence of solutions to the continuous nonhomogeneous Smoluchowski equation for coagulation rates satisfying a more general structure condition than the Galkin–Tupchiev monotony hypothesis considered in (Ph. Laurencot, S. Mischler, Arch. Rational Mech. Anal. 162 (1) (2002) 45–99). The Smoluchowski coagulation rate fulfils this condition as well as some rates which vanish on the diagonal. Under the condition of positivity of the coagulation rate outside of the diagonal we prove that solutions tend to 0 in the large time asymptotic. These results depend on a new estimate from below for the dissipation rate of the Lp-norm, p>1. To cite this article: S. Mischler, M. Rodriguez Ricard, C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
| Starting Page | 407 |
| Ending Page | 412 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S1631-073X(03)00070-0 |
| Volume Number | 336 |
| Alternate Webpage(s) | https://www.ceremade.dauphine.fr/~mischler/articles/25CFcrasLp.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S1631-073X%2803%2900070-0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
