The singular kernel coagulation equation with multifragmentation
Corresponding Author
Carlos Cueto Camejo
Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
Correspondence to: Carlos Cueto Camejo, Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
E-mail: [email protected]
Search for more papers by this authorGerald Warnecke
Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
Search for more papers by this authorCorresponding Author
Carlos Cueto Camejo
Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
Correspondence to: Carlos Cueto Camejo, Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
E-mail: [email protected]
Search for more papers by this authorGerald Warnecke
Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany
Search for more papers by this authorAbstract
In this article, we prove the existence of solutions to singular coagulation equations with multifragmentation. We use weighted L1 spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak L1 compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given. Copyright © 2014 John Wiley & Sons, Ltd.
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