Discrete velocity Boltzmann equations in the plane: stationary solutions
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Publication:6145238
DOI10.2140/apde.2023.16.1869arXiv2112.08640OpenAlexW4221146231MaRDI QIDQ6145238
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.08640
Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Cites Work
- Unnamed Item
- Half-space problem for the discrete Boltzmann equation: condensing vapor flow in the presence of a non-condensable gas
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Discrete velocity models of the Boltzmann equation and conservation laws
- A boundary value problem for the two dimensional Broadwell model
- On the stationary Povzner equation in \(\mathbb R^n\)
- Two-dimensional half-space problems for the Broadwell discrete velocity model
- Convergence of discrete-velocity schemes for the Boltzmann equation
- On stationary solutions to normal, coplanar discrete Boltzmann equation models
- Stationary solutions to the two-dimensional Broadwell model
- Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model
- Weak shock waves for the general discrete velocity model of the Boltzmann equation
- Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
- A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
- A compactness result related to the stationary Boltzmann equations in a slab, with applications to the existence theory
- Exact Solutions of Discrete Kinetic Models and Stationary Problems for the Plane Broadwell Model
- Lattice points on circles and discrete velocity models for the Boltzmann equation