A degenerate p-laplacian keller-segel model
Publication
, Journal Article
Cong, W; Liu, JG
Published in: Kinetic and Related Models
January 1, 2016
This paper investigates the existence of a uniform in time L∞ bounded weak solution for the p-Laplacian Keller-Segel system with the supercritical diffusion exponent 1 < p < 3d/d+1 in the multi-dimensional space ℝd under the condition that the L d(3-p)/p norm of initial data is smaller than a universal constant. We also prove the local existence of weak solutions and a blow-up criterion for general L1 ∩L∞ initial data.
Duke Scholars
Published In
Kinetic and Related Models
DOI
EISSN
1937-5077
ISSN
1937-5093
Publication Date
January 1, 2016
Volume
9
Issue
4
Start / End Page
687 / 714
Related Subject Headings
- Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cong, W., & Liu, J. G. (2016). A degenerate p-laplacian keller-segel model. Kinetic and Related Models, 9(4), 687–714. https://doi.org/10.3934/krm.2016012
Cong, W., and J. G. Liu. “A degenerate p-laplacian keller-segel model.” Kinetic and Related Models 9, no. 4 (January 1, 2016): 687–714. https://doi.org/10.3934/krm.2016012.
Cong W, Liu JG. A degenerate p-laplacian keller-segel model. Kinetic and Related Models. 2016 Jan 1;9(4):687–714.
Cong, W., and J. G. Liu. “A degenerate p-laplacian keller-segel model.” Kinetic and Related Models, vol. 9, no. 4, Jan. 2016, pp. 687–714. Scopus, doi:10.3934/krm.2016012.
Cong W, Liu JG. A degenerate p-laplacian keller-segel model. Kinetic and Related Models. 2016 Jan 1;9(4):687–714.
Published In
Kinetic and Related Models
DOI
EISSN
1937-5077
ISSN
1937-5093
Publication Date
January 1, 2016
Volume
9
Issue
4
Start / End Page
687 / 714
Related Subject Headings
- Applied Mathematics