Global Existence and Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum with Some Short Range Interactions

Robert Strain
Princeton University

We discuss recent work to prove global existence of solutions to the Cauchy Problem for the Relativistic Boltzmann equation with near Vacuum data. Our proof generalizes the work of Glassey (2006) to some restricted bounded cross sections which need not decay at infinity. Our estimates are independent of the speed of light globally in time. We will discuss applications to the Newtonian limit, c \to \infty if time permits.

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