From Boltzmann's equation to the incompressible Navier-Stokes-Fourier system with long-range interactions

DOI10.1007/s00205-012-0557-9zbMath1257.35140OpenAlexW2066647279MaRDI QIDQ1938409

Diogo Arsénio

Publication date: 4 February 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0557-9

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Boltzmann equations (35Q20)

Related Items (12)

From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions ⋮ Solutions of the Vlasov-Maxwell-Boltzmann system with long-range interactions ⋮ Deriving Ohm’s Law from the Vlasov-Maxwell-Boltzmann System ⋮ Regularity of renormalized solutions in the Boltzmann equation with long-range interactions ⋮ Convergence from the two-species Vlasov-Poisson-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law ⋮ Global renormalized solutions and Navier-Stokes limit of the Boltzmann equation with incoming boundary condition for long range interaction ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The Boltzmann equation with an external force on the torus: incompressible Navier-Stokes-Fourier hydrodynamical limit ⋮ A new approach to velocity averaging lemmas in Besov spaces ⋮ Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions ⋮ The Boltzmann Equation with Incoming Boundary Condition: Global Solutions and Navier--Stokes Limit ⋮ Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system

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