Difference between revisions of "SIAM Student Chapter Seminar"

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__NOTOC__
 
__NOTOC__
  
*'''When:''' TBA
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*'''When:''' 3:30 pm
*'''Where:''' Zoom
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*'''Where:''' Zoom  
 
*'''Organizers:''' [http://www.math.wisc.edu/~xshen/ Xiao Shen]
 
*'''Organizers:''' [http://www.math.wisc.edu/~xshen/ Xiao Shen]
 
*'''Faculty advisers:''' [http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault], [http://pages.cs.wisc.edu/~swright/ Steve Wright]  
 
*'''Faculty advisers:''' [http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault], [http://pages.cs.wisc.edu/~swright/ Steve Wright]  
*'''To join the SIAM Chapter mailing list:''' email [join-siam-chapter@lists.wisc.edu].
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*'''To join the SIAM Chapter mailing list:''' email [mailto:siam-chapter+join@g-groups.wisc.edu siam-chapter+join@g-groups.wisc.edu].
  
 
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!align="left" | title
 
!align="left" | title
 
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|TBA
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|9/29
 
|Yu Feng (Math)
 
|Yu Feng (Math)
|''[[#TBA, Yu Feng (Math)|Phase separation in the advective Cahn--Hilliard equation]]''
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|''[[#9/29, Yu Feng (Math)|Phase separation in the advective Cahn--Hilliard equation]]''
 
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== Abstracts ==
 
== Abstracts ==
  
=== TBA, Yu Feng (Math) ===
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=== 9/29, Yu Feng (Math) ===
 
'''Phase separation in the advective Cahn--Hilliard equation'''
 
'''Phase separation in the advective Cahn--Hilliard equation'''
  

Revision as of 11:53, 29 September 2020



Fall 2020

date speaker title
9/29 Yu Feng (Math) Phase separation in the advective Cahn--Hilliard equation

Abstracts

9/29, Yu Feng (Math)

Phase separation in the advective Cahn--Hilliard equation

The Cahn--Hilliard equation is a classic model of phase separation in binary mixtures that exhibits spontaneous coarsening of the phases. We study the Cahn--Hilliard equation with an imposed advection term in order to model the stirring and eventual mixing of the phases. The main result is that if the imposed advection is sufficiently mixing then no phase separation occurs, and the solution instead converges exponentially to a homogeneous mixed state. The mixing effectiveness of the imposed drift is quantified in terms of the dissipation time of the associated advection-hyperdiffusion equation, and we produce examples of velocity fields with a small dissipation time. We also study the relationship between this quantity and the dissipation time of the standard advection-diffusion equation.



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