Convergence to self-similar solutions for a coagulation equation |
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| Authors: | Philippe Laurençot |
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| Institution: | (1) Mathématiques pour l Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier – Toulouse 3, 118 route de Narbonne, F–31062 Toulouse cedex 4, France |
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| Abstract: | Convergence to self-similar profiles is shown for solutions to the Oort-Hulst-Safronov coagulation equation with constant coagulation kernel. A dynamical systems approach is used on the equation written in self-similar variables, for which two Liapunov functionals are identified. For initial data decaying sufficiently rapidly at infinity, decay rates are also obtained.Received: October 17, 2002 |
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| Keywords: | 45K05 45M05 37L45 82C21 |
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