DIFFUSIVE TRANSPORT OF PARTIALLY QUANTIZED PARTICLES: L log L SOLUTIONS

DOI10.1142/S0218202508002759zbMath1159.35405OpenAlexW2157615861MaRDI QIDQ3521620

Nicolas Vauchelet

Publication date: 26 August 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508002759

zbMATH Keywords

free energylong-time behaviorSchrödinger equationPoisson equationTrudinger inequalityconvex minimizationdrift-diffusion systemAubin-Lions compactness methodYoung inequality.

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Diffusion and convection (76R99) Variational principles of physics (49S05)

Related Items (2)

Diffusive limit of a two dimensional kinetic system of partially quantized particles ⋮ Hybrid fluid-quantum coupling for the simulation of the transport of partially quantized particles in a DG-MOSFET

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