On the initial-boundary value problem for the Boltzmann equation

DOI10.1007/BF00375670zbMath0753.76151OpenAlexW1966756553MaRDI QIDQ1189735

Carlo Cercignani

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf00375670

zbMATH Keywords

tracestheorem of existence

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (15)

Low regularity solutions for the Vlasov–Poisson–Landau/Boltzmann system ⋮ The Landau and non-cutoff Boltzmann equations in union of cubes ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The Boltzmann equation with large-amplitude initial data in bounded domains ⋮ Formation and propagation of discontinuity for Boltzmann equation in non-convex domains ⋮ A trace theorem in kinetic theory ⋮ The Boltzmann equation with weakly inhomogeneous data in bounded domain ⋮ The initial boundary value problem for the Boltzmann equation with soft potential ⋮ Asymptotic behaviour for the Vlasov-Poisson-Foker-Planck system ⋮ Decay and continuity of the Boltzmann equation in bounded domains ⋮ Constructing solutions for a kinetic model of angiogenesis in annular domains ⋮ The Boltzmann Equation with Incoming Boundary Condition: Global Solutions and Navier--Stokes Limit ⋮ Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas ⋮ The Boltzmann Equation in Bounded Domains ⋮ A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal

Cites Work

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Convergence to equilibrium in large time for Boltzmann and B.G.K. equations
• Abstract time-dependent transport equations
• Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions
• The Boltzmann equation and its applications
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