A compactness result related to the stationary Boltzmann equations in a slab, with applications to the existence theory
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Publication:4884452
DOI10.1512/iumj.1995.44.2010zbMath0853.45015OpenAlexW2027224253MaRDI QIDQ4884452
Publication date: 8 December 1996
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.1995.44.2010
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (15)
Singularity of Macroscopic Variables Near Boundary for Gases with Cutoff Hard Potential ⋮ Stationary solutions for the ellipsoidal BGK model in a slab ⋮ Boltzmann asymptotics with diffuse reflection boundary conditions ⋮ Unnamed Item ⋮ The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state ⋮ Boundary singularity of moments for the linearized Boltzmann equation ⋮ Discrete velocity Boltzmann equations in the plane: stationary solutions ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels ⋮ Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval ⋮ Unnamed Item ⋮ \(L^1\) solutions to the stationary Boltzmann equation in a slab ⋮ Stationary BGK models for chemically reacting gas in a slab ⋮ Stochastic formulation for the initial-boundary value problems of the Boltzmann equation ⋮ Existence and uniqueness of solutions for the Couette problem
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