TIME–DEPENDENT KINETIC EQUATIONS WITH COLLISION TERMS RELATIVELY BOUNDED WITH RESPECT TO THE COLLISION FREQUENCY

DOI10.1081/TT-100104455zbMath0990.82020OpenAlexW2029743538MaRDI QIDQ2780761

Cornelis V. M. van der Mee

Publication date: 14 March 2002

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

Full work available at URL: https://doi.org/10.1081/tt-100104455

zbMATH Keywords

existence and uniqueness theorytime dependent kinetic equations

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Boundary value problems in abstract kinetic theory
• Abstract time-dependent transport equations
• Spectral methods in linear transport theory
• The Boltzmann equation and its applications
• Hyperbolic evolution groups and dichotomic evolution families
• Weak solutions of the linear Boltzmann equation with very soft interactions
• On solutions to the linear Boltzmann equation with general boundary conditions and infinite-range forces.
• Conditions for runaway phenomena in the kinetic theory of particle swarms
• Trace theorems and kinetic equations for non divergence free external forces
• Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors
• RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• On Solutions to the Linear Boltzmann Equation with External Electromagnetic Force