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SUMMARY:Grad moment method for dilute granular gases of inelastic Maxwell 
 molecules - Vinay Kumar Gupta (University of Warwick)
DTSTART:20190502T150000Z
DTEND:20190502T151500Z
UID:TALK123907@talks.cam.ac.uk
CONTACT:Ferdia Sherry
DESCRIPTION:A collection of discrete macroscopic particles which dissipate
 \nenergy during collisions among themselves is termed as a granular\nmater
 ial. Granular materials are ubiquitous in nature and industry\nalike. They
  occur in all shapes and sizes ranging from few microns to\nseveral hundre
 d kilometres. Sand dunes\, debris flow\, asteroid belt\, dust\nstorm\, gra
 vels\, cement\, food grains\, sugar\, capsules\, pills are some\ntypical e
 xamples of granular materials. Depending on the energy\nsupplied\, they ca
 n exist in the solid\, liquid or gaseous state. Due to\ntheir dissipative 
 nature\, granular materials exhibit several\ninteresting—and often count
 er-intuitive—phenomena. At the same time\,\nthis very feature of granula
 r materials poses many difficulties while\nmodelling processes in granular
  materials due to the non- conservation\nof energy.\n\nThe present work co
 nsiders the gaseous state of granular materials\, for\nwhich\, analogous t
 o molecular gases\, mathematical tools can be developed\nwithin the framew
 ork of kinetic theory. In this talk\, I shall present my\nrecent work on G
 rad moment method for modelling a dilute granular\ngaseous flow of d-dimen
 sional smooth\, identical\, inelastic spheres\ninteracting with Maxwell in
 teraction potential—referred to as inelastic\nMaxwell molecules (IMM). H
 ere d = 2 means disk flows while d = 3 means\nsphere flows. This work is a
  somewhat generalization of my previous work\nto arbitrary dimensions. To 
 assess the capabilities of the derived\nmodels for IMM\, the homogeneous c
 ooling state of a freely cooling\ngranular gas of IMM and its stability to
  small perturbation is studied.\nMoreover\, the Navier–Stokes level tran
 sport coefficients are also\nobtained from the moment equations and it has
  been found that the\ntransport coefficients obtained in this work agree e
 xactly with those\nobtained in previous studies.
LOCATION:Centre for Mathematical Sciences\, MR2
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