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We investigate the long-time behavior of solutions to the classical mean-field model for coarsening by Lifshitz-Slyozov and Wagner (LSW). In the original work (Lifshitz and Slyozov, 1961; Wagner 1961) convergence of solutions to a uniquely deter[...]texto impreso
This paper describes in a rigorous manner how the dynamics of the characteristic curves for the Lifshitz-Slyozov-Wagner (LSW) model of coarsening transforms a class of noncompactly supported initial data in functions that behave in a self-simila[...]texto impreso
In this paper we describe the fundamental solution of the equation that is obtained linearizing the Uehling-Uhlenbeck equation around the steady state of Kolmogorov type f(k) = k?7/6. Detailed estimates on its asymptotics are obtained.texto impreso
In this paper a method of approximating the classical LSW model near self-similar solutions for initial data with infinite support is developed. The resulting problem is an integrodifferential equation having two time scales that can be studied [...]texto impreso
In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-di®usion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As [...]
