JournalsaihpcVol. 29, No. 4pp. 589–635

Classical non-mass-preserving solutions of coagulation equations

  • M. Escobedo

    Departamento de Matemáticas, Universidad del País Vasco UPV/EHU, Apartado 644, E-48080 Bilbao, Spain, Basque Center for Applied Mathematics (BCAM), Alameda de Mazarredo 14, E-48009 Bilbao, Spain

  • J.J.L. Velázquez

    Institute of Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany
Classical non-mass-preserving solutions of coagulation equations cover
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Abstract

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.

Cite this article

M. Escobedo, J.J.L. Velázquez, Classical non-mass-preserving solutions of coagulation equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 4, pp. 589–635

DOI 10.1016/J.ANIHPC.2012.03.001