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Bae, Hantaek
School of Natural Science
Research Interests
  • Fluid dynamics, polymeric fluid, kinetic theory

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ON THE DOI MODEL FOR THE SUSPENSIONS OF ROD-LIKE MOLECULES IN COMPRESSIBLE FLUIDS

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Title
ON THE DOI MODEL FOR THE SUSPENSIONS OF ROD-LIKE MOLECULES IN COMPRESSIBLE FLUIDS
Author
Bae, HantaekTrivisa, Konstantina
Issue Date
2012-10
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Citation
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, v.22, no.10, pp.1250027
Abstract
Polymeric fluids arise in many practical applications in biotechnology, medicine, chemistry, industrial processes, and atmospheric sciences. In this paper, the Doi model for the suspensions of rod-like molecules in a compressible fluid is investigated. The model under consideration describes the interaction between the orientation of rod-like polymer molecules on the microscopic scale and the macroscopic properties of the fluid in which these molecules are contained. Prescribing arbitrarily the initial density of the fluid, the initial velocity, and the initial orientation distribution in suitable spaces, we establish the global-in-time existence of a weak solution to our model defined on a bounded domain in the three-dimensional space. The proof relies on the construction of an approximate sequence of solutions by introducing appropriate regularization and the establishment of compactness
URI
https://scholarworks.unist.ac.kr/handle/201301/16609
URL
http://www.worldscientific.com/doi/abs/10.1142/S0218202512500273
DOI
10.1142/S0218202512500273
ISSN
0218-2025
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