H.J.J. van Roessel
Research Interests


Coagulation-Fragmentation Equations

What do the formation of blood clots in arteries, hailstones in a summer storm, and planets in our solar system all have in common? At first glance not much, considering that these very diverse phenomena occur on vastly different length scales from the microscopic to the cosmic. However, whether it is the coagulation of blood cells to form clots, the coalescence of water droplets to form hail, or the contraction of interstellar gas to form planets, all of these phenomena may be characterized by some process of irreversible aggregation or coalescence. Examples of coalescence or coagulation processes are abundant, both in nature and in human endeavours. Other examples include: coagulation of colloids; the joining of polymers to form long polymer chains; coalescence of smoke particles from fires to form soot; the formation of clouds and smog; and the coalescence of bubbles rising in beer.

The primary purpose of my research is, through the use of mathematical models, to better understand the phenomenon of coagulation, and the reverse process, fragmentation.



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