On the Fundamental Solution of a Linearized Homogeneous Coagulation Equation

نویسندگان

  • Miguel Escobedo
  • J. J. L. Velázquez
  • M. Escobedo
چکیده

We describe the fundamental solution of the equation that is obtained by linearization of the coagulation equation with kernel K (x, y) = (xy)λ/2, around the steady state f (x) = x−(3+λ)/2 with λ ∈ (1, 2). Detailed estimates on its asymptotics are obtained. Some consequences are deduced for the flux properties of the particles distributions described by such models.

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تاریخ انتشار 2010