Self-similar solutions with fat tails for a coagulation equation with nonlocal drift |
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Authors: | Michael Herrmann Philippe Laurençot Barbara Niethammer |
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Institution: | 1. Oxford Centre for Nonlinear PDE, Mathematical Institute, University of Oxford, 24-29 St. Giles'', Oxford, OX1 3LB, United Kingdom;2. Institut de Mathématiques de Toulouse, Université de Toulouse, CNRS UMR 5219, 118, route de Narbonne, F-31062 Toulouse cedex 9, France |
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Abstract: | We investigate the existence of self-similar solutions for a coagulation equation with nonlocal drift. In addition to explicitly given exponentially decaying solutions we establish the existence of self-similar profiles with algebraic decay. To cite this article: M. Herrmann et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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