Asymptotic Analysis of Abstract Linear Kinetic Equations

DOI<481::AID-MMA778>3.0.CO;2-D 10.1002/(SICI)1099-1476(199604)19:6<481::AID-MMA778>3.0.CO;2-DzbMath0855.34066OpenAlexW1971065737WikidataQ72545587 ScholiaQ72545587MaRDI QIDQ4882923

Jacek Banasiak

Publication date: 16 February 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199604)19:6<481::aid-mma778>3.0.co;2-d

zbMATH Keywords

Boltzmann equationasymptotic analysismodified Chapman-Enskog procedureabstract linear kinetic equationskinetic equations with Fokker-Planck collision operator

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Linear differential equations in abstract spaces (34G10) Nuclear reactor theory; neutron transport (82D75)

Related Items (3)

Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer ⋮ Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system ⋮ Challenges in the Numerical Solution for Models in Transport Theory

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Boundary value problems in abstract kinetic theory
• Abstract time-dependent transport equations
• Exact and chapman‐enskog solutions for the carleman model
• Existence of solutions and diffusion approximation for a model Fokker-Planck equation
• Transport Equations with Second-Order Differential Collision Operators
• New asymptotic expansion algorithm for singularly perturbed evolution equations
• ASYMPTOTIC ANALYSIS OF THE FOKKER-PLANCK EQUATION RELATED TO BROWNIAN MOTION
• Diffusion limit for the linear boltzmann equation of the neutron transport theory
• Diffusion limit for a linear kinetic equation

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