Learn More
This paper is devoted to the grazing collision limit of the inelastic Kac model introduced in [PT04], when the equilibrium distribution function is a heavy-tailed Lévy-type distribution with infinite variance. We prove that solutions in an appropriate domain of attraction of the equilibrium distribution converge to solutions of a Fokker-Planck equation with(More)
We review some known results of local existence in the framework of Le-besgue spaces for the nonlinear heat equation with polynomial nonlinearity. Then we consider nonlinearity of exponential growth and we present a new result of local existence in the context of Orlicz spaces. We consider the Cauchy problem for the semilinear heat equation ∂ t u = ∆u + f(More)
  • 1