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- W2032965906 abstract "The initial value problem for the discrete coagulation–fragmentation system with diffusion is studied. This is an infinite countable system of reaction–diffusion equations describing coagulation and fragmentation of discrete clusters moving by spatial diffusion in all space R d . The model considered in this work is a generalization of Smoluchowski's discrete coagulation equations. Existence of global-in-time weak solutions to the Cauchy problem is proved under natural assumptions on initial data for unbounded coagulation and fragmentation coefficients. This work extends existence theory for this system from the case of clusters distribution on bounded domain subject to no-flux boundary condition to the case of all R d ." @default.
- W2032965906 created "2016-06-24" @default.
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- W2032965906 date "2004-01-01" @default.
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- W2032965906 title "Weak solutions to the Cauchy problem for the diffusive discrete coagulation–fragmentation system" @default.
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- W2032965906 doi "https://doi.org/10.1016/j.jmaa.2003.08.022" @default.
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