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Networks and Heterogeneous Media

2014, Volume 9, Issue 4: 739-762. doi: 10.3934/nhm.2014.9.739
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Homogenization of a thermo-diffusion system with Smoluchowski interactions

  • 1.
    Department of Mathematics and Computer Science, CASA - Center for Analysis, Scientific computing and Engineering, Eindhoven University of Technology, 5600 MB, PO Box 513, Eindhoven
  • 2.
    Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women's University, Tokyo
  • 3.
    CASA - Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Institute of Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven
  • Received: 01 April 2014 Revised: 01 September 2014

  • Primary: 35B27, 35K59; Secondary: 80M40, 80A25.

  • We study the solvability and homogenization of a thermal-diffusion reaction problem posed in a periodically perforated domain. The system describes the motion of populations of hot colloidal particles interacting together via Smoluchowski production terms. The upscaled system, obtained via two-scale convergence techniques, allows the investigation of deposition effects in porous materials in the presence of thermal gradients.

    Citation: Oleh Krehel, Toyohiko Aiki, Adrian Muntean. Homogenization of a thermo-diffusion system with Smoluchowski interactions[J]. Networks and Heterogeneous Media, 2014, 9(4): 739-762. doi: 10.3934/nhm.2014.9.739

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  • We study the solvability and homogenization of a thermal-diffusion reaction problem posed in a periodically perforated domain. The system describes the motion of populations of hot colloidal particles interacting together via Smoluchowski production terms. The upscaled system, obtained via two-scale convergence techniques, allows the investigation of deposition effects in porous materials in the presence of thermal gradients.


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