Summary
It is proved that for the general bilinear kernel with arbitrary initial conditions, the solutions to the discrete coagulation equation can exhibit one of the following types of behaviour: conservation of mass for all time, conservation of mass for a finite time only, or instantaneous gelation.
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Research supported in part by grants from Natural Sciences and Engineering Research Council of Canada.
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Shirvani, M., Van Roessel, H. The mass-conserving solutions of Smoluchowski's coagulation equation: The general bilinear kernel. Z. angew. Math. Phys. 43, 526–535 (1992). https://doi.org/10.1007/BF00946244
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DOI: https://doi.org/10.1007/BF00946244