Hydrodynamical limit for a drift-diffusion system modeling large-population dynamics
نویسندگان
چکیده
منابع مشابه
Hydrodynamical limit for a drift-diffusion system modeling large-population dynamics
In this paper we study the stability of the following nonlinear drift-diffusion system modeling large population dynamics ∂t ρ + div(ρU − ε∇ρ) = 0, divU = ±ρ, with respect to the viscosity parameter ε. The sign in the second equation depends on the attractive or repulsive character of the field U . A proof of the compactness and convergence properties in the vanishing viscosity regime is given....
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where ε is a positive (viscosity) constant and θ = 1 when we consider a self-consistent field U of electrostatic type produced by a charge density ρ (repulsive forces) or θ = −1 for the gravitational case, in which the self-consistent field is due to the mass distribution (attractive forces). The high-field limit corresponds to a different regime of the physical constants (thermal velocity and ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.11.038