The Existence of Moments of Solutions to Transport Equations with Inelastic Scattering and their Application in the Asymptotic Analysis
DOI10.1515/JAA.2000.187zbMath0976.45007OpenAlexW2001823062WikidataQ70722518 ScholiaQ70722518MaRDI QIDQ2706911
Publication date: 2 January 2002
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jaa.2000.187
error estimatesasymptotic solutionCauchy problemsemiconductorsresolvent positive operatorstransport processespositive semigroupDesch perturbation theoremcombined elastic-inelastic scatteringexistence of moments of solutionskinetic equation with dominant elastic scatteringLorentz gas limittime-dependent spatially homogeneous Boltzmann equation
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of semiconductors (82D37) Asymptotics of solutions to integral equations (45M05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
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Cites Work
- Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors
- On a Model Transport Equation with Inelastic Scattering
- Asymptotic analysis for a particle transport problem in a moving medium
- ASYMPTOTIC ANALYSIS FOR A PARTICLE TRANSPORT EQUATION WITH INELASTIC SCATTERING IN EXTENDED KINETIC THEORY
- The Drift–Diffusion Limit for Electron–Phonon Interaction in Semiconductors
- Resolvent Positive Operators
- MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY
- Boltzmann equation for inelastic scattering
- Inelastic scattering models in transport theory and their small mean free path analysis
- On a hierarchy of macroscopic models for semiconductors
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