arXiv subjects

Carlos Cueto Camejo

Publications and source records attributed to Carlos Cueto Camejo.

2 recordsLinked to original sources

arXiv2014

Regular Solutions to the Coagulation Equations with Singular Kernels

In this article we prove the existence of solutions to the coagulation equation with singular kernels. We use weighted L^1-spaces to deal with the singularities in order to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak L^1 compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also mentioned.

math-ph↗

arXiv2013

The singular kernel coagulation equation with multifragmentation

In this article we prove the existence of solutions to the singular coagulation equation with multifragmentation. We use weighted $L^1$-spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak $L^1$ compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given.

math-ph↗