Mathematical and numerical study of a kinetic model describing the evolution of planetary rings

DOI10.1016/j.camwa.2023.04.029MaRDI QIDQ6104829

Francesco Salvarani, Annamaria Massimini, Frédérique Charles

Publication date: 28 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

particle methodVlasov equationsevolutionary domain

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Galactic and stellar structure (85A15) Celestial mechanics (70F15) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Cites Work

• GPU-accelerated numerical simulations of the Knudsen gas on time-dependent domains
• Approximate explicit stationary solutions to a Vlasov equation for planetary rings
• On periodic perturbations of uniform motion of Maxwell's planetary ring
• Phase-space structure for narrow planetary rings
• Mathematical and numerical study of a dusty Knudsen gas mixture: extension to non-spherical dust particles
• Mathematical and numerical study of a dusty Knudsen gas mixture
• On the linear Boltzmann equation in evolutionary domains with an absorbing boundary
• Hydrodynamic Description of Planetary Rings
• Fractal planetary rings: Energy inequalities and random field model
• A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn
• Subjects great and small: Maxwell on Saturn's rings and kinetic theory
• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport
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