Liapunov Functionals for Smoluchowski¿s Coagulation Equation and Convergence to Self-Similarity

• Autores: Philippe Laurençot, Stéphane Mischler
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 2, 2005, págs. 127-142
• Idioma: inglés
• DOI: 10.1007/s00605-005-0308-1
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• Resumen

  • An alternative proof of the convergence to self-similar profiles for solutions to the Smoluchowski coagulation equation with constant coagulation kernel is provided. In contrast to the previous approaches which rely on the Laplace transform, a dynamical systems approach is used on the equation written in self-similar variables, for which several Liapunov functionals are identified