Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state
DOI10.1142/S021989161950005XzbMath1428.35263OpenAlexW2945748253WikidataQ127824722 ScholiaQ127824722MaRDI QIDQ5237473
Mohamed Lazhar Tayeb, Lanoir Addala
Publication date: 18 October 2019
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021989161950005x
weak solutiondiffusion approximationGibbs statedrift-diffusion equationBoltzmann-Poisson systemaveraging lemma
PDEs in connection with optics and electromagnetic theory (35Q60) Maximum principles in context of PDEs (35B50) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Weak solutions to PDEs (35D30) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Electro- and magnetostatics (78A30) Boltzmann equations (35Q20)
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