A Note on a Kinetic Model for Rod-Like Particle Suspensions
نویسندگان
چکیده
منابع مشابه
A Kinetic Model for the Sedimentation of Rod-Like Particles
Abstract. We consider a kinetic multi-scale model, describing suspensions of rod-like particles, which couples a microscopic Smoluchowski equation for the distribution of rod orientations to a macroscopic Stokes or Navier-Stokes equation via an elastic stress tensor and a gravitational forcing term. A reciprocal coupling of phenomena on these different scales leads to the formation of clusters....
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Article history: Received 1 November 2011 Revised 14 August 2012 Available online xxxx MSC: 35Q30 35K55 35Q92 76D05 76T20
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We study the Doi model for suspensions of rod–like molecules. The Doi model couples a microscopic Fokker–Planck type equation (Smoluchowski equation) to the macroscopic Stokes equation. The Smoluchowski equation describes the evolution of the distribution of the rod orientations; it comes as a drift–diffusion equation on the sphere at every point in physical space. For sufficiently high macrosc...
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The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the num...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2013
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2013.15002