Imperial College London
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Professor Grigorios A. Pavliotis

Faculty of Natural Sciences, Department of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8564g.pavliotis Website

 
 
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Location

 

736aHuxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Goddard:2012:10.1137/110844659,
author = {Goddard, BD and Pavliotis, GA and Kalliadasis, S},
doi = {10.1137/110844659},
journal = {MULTISCALE MODELING & SIMULATION},
pages = {633--663},
title = {The overdamped limit of dynamic density functional theory: Rigorous results},
url = {http://dx.doi.org/10.1137/110844659},
volume = {10},
year = {2012}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Consider the overdamped limit for a system of interacting particles in thepresence of hydrodynamic interactions. For two-body hydrodynamic interactionsand one- and two-body potentials, a Smoluchowski-type evolution equation isrigorously derived for the one-particle distribution function. This newequation includes a novel definition of the diffusion tensor. A comparison withexisting formulations of dynamic density functional theory is also made.
AU  - Goddard,BD
AU  - Pavliotis,GA
AU  - Kalliadasis,S
DO  - 10.1137/110844659
EP  - 663
PY  - 2012///
SN  - 1540-3459
SP  - 633
TI  - The overdamped limit of dynamic density functional theory: Rigorous results
T2  - MULTISCALE MODELING & SIMULATION
UR  - http://dx.doi.org/10.1137/110844659
UR  - http://arxiv.org/abs/1108.3185
UR  - http://www.siam.org/journals/mms.php
UR  - http://hdl.handle.net/10044/1/10446
VL  - 10
ER  -
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