Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles
Publication
, Journal Article
Chen, X; Li, X; Liu, JG
Published in: Communications in Mathematical Sciences
January 1, 2014
We investigate a kinetic model for the sedimentation of dilute suspensions of rod-like particles under gravity, deduced by Helzel, Otto, and Tzavaras (2011), which couples the impressible (Navier-)Stokes equation with the Fokker-Planck equation. With a no-flux boundary condition for the distribution function, we establish the existence and uniqueness of a global weak solution to the two dimensional model involving the Stokes equation. © 2014.
Duke Scholars
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2014
Volume
12
Issue
8
Start / End Page
1579 / 1601
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Chen, X., Li, X., & Liu, J. G. (2014). Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles. Communications in Mathematical Sciences, 12(8), 1579–1601. https://doi.org/10.4310/CMS.2014.v12.n8.a10
Chen, X., X. Li, and J. G. Liu. “Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles.” Communications in Mathematical Sciences 12, no. 8 (January 1, 2014): 1579–1601. https://doi.org/10.4310/CMS.2014.v12.n8.a10.
Chen X, Li X, Liu JG. Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles. Communications in Mathematical Sciences. 2014 Jan 1;12(8):1579–601.
Chen, X., et al. “Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles.” Communications in Mathematical Sciences, vol. 12, no. 8, Jan. 2014, pp. 1579–601. Scopus, doi:10.4310/CMS.2014.v12.n8.a10.
Chen X, Li X, Liu JG. Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles. Communications in Mathematical Sciences. 2014 Jan 1;12(8):1579–1601.
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2014
Volume
12
Issue
8
Start / End Page
1579 / 1601
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics