The spectrum of the linear transport operator with a force in a torus

DOI10.1007/BF02697877zbMath0935.82040MaRDI QIDQ1307375

Minoru Tabata, Nobuoki Eshima

Publication date: 31 October 1999

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

linear transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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• Abstract time-dependent transport equations
• Spectral methods in linear transport theory
• On the nonlinear Boltzmann equation with force term
• Global solutions to a mixed problem fop the Boltzmann equation with Lorentz force term
• Existence, uniqueness and properties of the solutions of the Boltzmann kinetic equation for a weakly ionized gas. I.
• On the Boltzmann Equation with External Forces
• Decay of solutions to the mixed problem with the periodicity boundary condition for the linearized boltzmann equation with conservative external force
• Decay of solutions to the cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential

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