Strong convergence inLpfor a spatially homogeneous Maxwell gas with cut-off

DOI10.1080/00411459508205132zbMath0820.45008OpenAlexW2052976149MaRDI QIDQ4327069

Giuseppe Toscani

Publication date: 18 September 1995

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459508205132

zbMATH Keywords

convergenceCauchy problemBoltzmann equationequilibrium solutionLinnik's functionalMaxwell gas

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Theoretical approximation of solutions to integral equations (45L05)

Related Items (1)

Fisher information estimates for Boltzmann's collision operator

Cites Work

• Unnamed Item
• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• \(L^ p\)-estimates for the nonlinear spatially homogeneous Boltzmann equation
• Global \(L^ p\)-properties for the spatially homogeneous Boltzmann equation
• Lyapunov functionals for a Maxwell gas
• Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
• Convergence towards equilibrium for a gas of Maxwellian pseudomolecules
• On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas
• On convergence to equilibrium for Kac’s caricature of a Maxwell gas
• Stability and exponential convergence in Lp for the spatially homogeneous Boltzmann equation

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