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math.AP2005
Analysis of singular solutions for two nonlinear wave equations
Massimo Fonte
This is a Thesis submitted for the degree of Doctor Philosophiae at S.I.S.S.A./I.S.A.S.
math.AP2005
Conservative solution of the Camassa Holm Equation on the real line
Massimo Fonte
In this paper we construct a global, continuous flow of solutions to the Camassa-Holm equation on the space H^1(R). In a previous paper [2], A. Bressan and the author constructed s…
math.AP2005
An Optimal Transportation Metric for Solutions of the Camassa-Holm Equation
Alberto Bressan, Massimo Fonte
In this paper we construct a global, continuous flow of solutions to the Camassa-Holm equation on the entire space . Our solutions are conservative, in the sense that the tota…
math.AP2004
On the Blow-up for a Discrete Boltzmann Equation in the Plane
Alberto Bressan, Massimo Fonte
We study the possibility of finite-time blow-up for a two dimensional Broadwell model. In a set of rescaled variables, we prove that no self-similar blow-up solution exists, and de…