Stationary Boltzmann's Equation With a Source Term

DOI10.1080/03605309908820747zbMath0728.76091OpenAlexW1976896420MaRDI QIDQ3352757

Andrzej Palczewski, Giorgio Busoni

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820747

zbMATH Keywords

perturbationsexistence and uniquenessFredholm alternativesuccessive approximationsequilibrium solutionorthogonality conditionsspecularly reflecting boundarysteady nonlinear Boltzmann equationthree-dimensional box

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (2)

The boltzmann equation with weakly inhomogeneous data and a source term ⋮ The Boltzmann equation in a bounded domain with specularly reflecting boundaries

Cites Work

• Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence
• Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability
• The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
• Existence and uniqueness for nonlinear boundary value problems in kinetic theory
• On the classical solutions of the boltzmann equation
• Spectral properties of the space nonhomogeneous linearized Boltzmann operator
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• Stationary solutions of the linearized Boltzmann equation in a half‐space
• Stationary solutions of the non‐linear Boltzmann equation in a bounded spatial domain

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