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Velocity Decay Estimates for Boltzmann equation with hard potentials
Stephen Cameron, Stanley Snelson
We establish pointwise polynomial decay estimates in velocity space for the spatially inhomogeneous Boltzmann equation without cutoff, in the case of hard potentials (),…
Local well-posedness of the Boltzmann equation with polynomially decaying initial data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous non-cutoff Boltzmann equation with polynomially decaying initial data in the velocity variable. We establish short-ti…
Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous Landau equation with soft potentials in the case of large (i.e. non-perturbative) initial data. We construct a soluti…