On the Long-Time Behavior of the Quantum Fokker-Planck Equation
β Scribed by C. Sparber; J. A. Carrillo; J. Dolbeault; P. A. Markowich
- Publisher
- Springer Vienna
- Year
- 2004
- Tongue
- English
- Weight
- 300 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
We study the long-time behaviour of solutions of the Vlasov-Poisson-Fokker-Planck equation for initial data small enough and satisfying some suitable integrability conditions. Our analysis relies on the study of the linearized problems with bounded potentials decaying fast enough for large times. We
Anomalous diffusion is one of the most ubiquitous phenomena in nature, and it is present in a wide variety of physical situations, for instance, transport of fluid in porous media, diffusion of plasma, diffusion at liquid surfaces, etc. The fractional approach proved to be highly effective in a rich