Asymptotics of Solutions of the Linear Transport Equation as t → +∞

J. Esquivel, V. V. Kucherenko

Research output: Contribution to journalArticlepeer-review

Abstract

In the paper, necessary and sufficient conditions are obtained for a solution of the linear transport equation to have exponential asymptotics of the form φ(t, x, v) = exp(λ0t) {cψ(x, v) + O(e-εt)} as t → ∞. Sufficient conditions on the coefficients of the transport equations are obtained ensuring exponential asymptotics.

Original languageEnglish
Pages (from-to)27-55
Number of pages29
JournalRussian Journal of Mathematical Physics
Volume6
Issue number1
StatePublished - Jan 1999
Externally publishedYes

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