Alphabeta MathNonnegative kinetic density and moment domain
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1 · Prerequisites
- Absolute and Conditional Convergence; Rearrangement; Products
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- Binary Operations, Monoids, Groups and Subgroups
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2 · Logical flowchart
3 · Items
Definition
Nonnegative kinetic density and moment domain
Definition
Elastic collision measure and weak collision operator
Proposition
Exact unclosed kinetic conservation laws
Theorem
Conditional periodic kinetic H theorem
Theorem
Full-support collision equilibrium has Maxwellian form
Proposition
Gaussian Maxwellian normalization, stress, and heat flux
Theorem
Euler equations under weighted local-equilibrium convergence
Definition
Single-species BGK relaxation operator
Theorem
Exact homogeneous BGK fast relaxation
Proposition
Exponential reference-relative entropy bound for homogeneous BGK
Sources
- David Tong, Kinetic Theory, Part 2, §§2.2.2–2.4.2, pp. 23–43
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §§3.1–3.2, pp. 19–25
- David Tong, Kinetic Theory, Part 2, §§2.2–2.3
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §3.1
- David Tong, Kinetic Theory, Part 2, §2.4.1, pp. 36–39
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §3.1, pp. 19–22
- David Tong, Kinetic Theory, Part 2, §2.3, pp. 32–35
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §3.2, pp. 23–25
- David Tong, Kinetic Theory, Part 2, §§2.2.2–2.3, pp. 23–35
- David Tong, Kinetic Theory, Part 2, §2.4.2, pp. 40–43
- Nicola Zamponi, From the Boltzmann Equation to Hydrodynamic Models, §3.2, pp. 11–12
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §§3.1–3.2 (context only)
- David Tong, Kinetic Theory, Part 2, §2.5.1, pp. 45–46
- François Golse, The Boltzmann Equation and Its Hydrodynamic Limits, §§3.1–3.2