Existence theorems for certain kinetic equations and large data. (English) Zbl 0654.76073

The author mainly analyzes the Boltzmann equation in one spatial dimension with a bounded weight function S in the collision operator. For this equation, the global \(L^ 1\)-existence and uniqueness is proved on a bounded x-interval. The theorem is proved when velocities are required to be bounded and the contribution from large velocities is treated as being a small perturbation.
Reviewer: I.Grosu


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics


Zbl 0654.76074
Full Text: DOI


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