Summary: Local and Global Strong Solutions to
Continuous Coagulation­Fragmentation
Equations with Di#usion
Herbert Amann
Universit˜at Z˜urich, Institut f˜ur Mathematik, Winterthurerstr. 190, CH­8057
Z˜urich, Switzerland
Christoph Walker
Vanderbilt University, Department of Mathematics, 1326 Stevenson Center,
Nashville, TN 37240, USA
Abstract
We consider the di#usive continuous coagulation­fragmentation equations with and
without scattering and show that they admit unique strong solutions for a large
class of initial values. If the latter values are small with respect to a suitable norm,
we provide su#cient conditions for global­in­time existence in the absence of frag­
mentation.
Key words: coagulation, fragmentation, volume scattering, di#usion, semigroup
theory
1 Introduction
The present paper contributes to the mathematical investigation of coagula­
tion and fragmentation processes. Describing the mechanisms by which par­

Source: Amann, Herbert - Institut für Mathematik, Universität Zürich

Collections: Mathematics