Decay of solutions to the cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential

DOI10.1080/00411459408203926zbMath0817.35116OpenAlexW1969680304MaRDI QIDQ4317628

Minoru Tabata

Publication date: 20 December 1994

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459408203926

zbMATH Keywords

Cauchy problemnonlinear Boltzmann equationlinearized Boltzmann equationtime evolution of rarefied gas

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items

On the global existence for the Kac model with external force ⋮ Boltzmann Equation with a Large Potential in a Periodic Box ⋮ The spectrum of the transport operator with a potential term under the spatial periodicity condition ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain ⋮ The spectrum of the linear transport operator with a force in a torus ⋮ Global existence to Boltzmann equation with external force in infinite vacuum

Cites Work

• The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
• Global solutions to the initial value problem for the nonlinear Boltzmann equation
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation

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