Aggregation and fragmentation Models



We are interested in the mathematical theory for aggregation and/or fragmentation equations: local and global existence of solutions, singularity formation, particular solutions.

Some publications:

  1. Gelation in Coagulation and fragmentaion models
     Commun. Math. Phys. Vol. 231 (2002); pp. 157-188
    Miguel Escobedo, Stéphane Mischler and Benoit Perthame

  2. Fast reaction diffusive coagulation fragmentation equation.
     Comm. P. D. E. Vol. 28 (2003); pp. 1113-1133.
    Miguel Escobedo Philippe Laurencot and Stéphane Mischler .

  3. Gelation and mass conservation in coagulation fragmentation models.
     J. Diff. Eqns. Vol. 195 (2003); pp. 143-174.
    Miguel Escobedo, Stéphane Mischler and Benoit Perthame.

  4. On a kinetic equation for coalescing particles.
     Comm. in Maths. Phys. Vol. 246 (2004); pp. 237-267.
    Miguel Escobedo Philippe Laurencot and Stéphane Mischler.

  5. On self-similarity and stationary problem for fragmentation and coagulation models.
    Annales de l 'IHP. Vol. 22 (2005); pp. 99-125.
    Miguel Escobedo, Stéphane Mischler and Manuel R. Ricard.