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arxiv: 1009.2859 · v1 · pith:NSZCJRDBnew · submitted 2010-09-15 · 🧮 math-ph · math.AP· math.MP

Classical non mass preserving solutions of coagulation equations

classification 🧮 math-ph math.APmath.MP
keywords behaviourclassicalcoagulationequationsmasssolutionsbecomeconsists
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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.

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