Titlebook: Recent Advances in Kinetic Equations and Applications; Francesco Salvarani Conference proceedings 2021 The Editor(s) (if applicable) and T

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書目名稱Recent Advances in Kinetic Equations and Applications被引頻次學科排名




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https://doi.org/10.1007/978-3-030-82946-9Kinetic theory; Partial differential equations; Numerical simulations; Mathematical Physics; Application

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Thermal Boundaries in Kinetic and Hydrodynamic Limits,We investigate how a thermal boundary, modelled by a Langevin dynamics, affect the macroscopic evolution of the energy at different space-time scales.

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Recent Advances in Kinetic Equations and Applications978-3-030-82946-9Series ISSN 2281-518X Series E-ISSN 2281-5198

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The Vlasov Equation with Infinite Mass, the physical space and on the singularity of the interaction. In particular, for .?=?3, the more singular the interaction, the faster must be the spatial decay at infinity of the initial distribution. We describe also an application which gives rise to a viscous friction model.

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Sharpening of Decay Rates in Fourier Based Hypocoercivity Methods,ities. We explore various estimates for equations involving a Fokker–Planck and a linear relaxation operator. We review existing results in simple cases and focus on the accuracy of the estimates of the rates. The two methods are compared in the case of the Goldstein–Taylor model in one-dimension.

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Quantum Drift-Diffusion Equations for a Two-Dimensional Electron Gas with Spin-Orbit Interaction,on. To our knowledge, this is the first example of quantum drift-diffusion equations involving the full spin vector. Indeed, previous models were either quantum bipolar (involving only the spin projection on a given axis) or full spin but semiclassical.