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Approach to self‐similarity in Smoluchowski's coagulation equations

Approach to self‐similarity in Smoluchowski's coagulation equations

Abstract We consider the approach to self‐similarity (or dynamical scaling) in Smoluchowski's equations of coagulation for the solvable kernels K ( x, y ) = 2, x + y and xy . In addition to the known self‐similar solutions with exponential tails, there are one‐parameter families of solutions with algebraic …