A perturbation method for solving a quadratic evolution equation
Open Access
- 1 October 1983
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 41 (3) , 343-351
- https://doi.org/10.1090/qam/721425
Abstract
A quadratic evolution equation of the form \[ u ˙ = L u + ϵ Q u \dot u = Lu + \epsilon Qu \] is considered where L L and Q Q are particular linear and quadratic integral operators respectively. This equation has been proposed to describe the variation with time of u ( x , t ) u(x,t) , the volume density of an ensemble of particles undergoing concurrent coalescence and fracture.Keywords
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