| dc.contributor.author |
Gurusamy, Arumugam |
|
| dc.contributor.author |
A. H., Erhardt |
|
| dc.contributor.author |
I., Eswaramoorthy |
|
| dc.contributor.author |
B., Krishnan |
|
| dc.date.accessioned |
2020-02-22T06:10:44Z |
|
| dc.date.available |
2020-02-22T06:10:44Z |
|
| dc.date.issued |
2020-08 |
|
| dc.identifier.citation |
Gurusamy, Arumugam; A. H., Erhardt; I., Eswaramoorthy and B., Krishnan, "Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion", Nonlinear Analysis: Real World Applications, DOI: 10.1016/j.nonrwa.2020.103090, vol. 54, Aug. 2020. |
en_US |
| dc.identifier.issn |
1468-1218 |
|
| dc.identifier.uri |
https://doi.org/10.1016/j.nonrwa.2020.103090 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/5099 |
|
| dc.description.abstract |
In this paper, we consider the Keller-Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction-diffusion equations with additional cross-diffusion. We establish the existence of weak solutions to the considered system by using Schauder's fixed point theorem, a priori energy estimates and the compactness results. |
|
| dc.description.statementofresponsibility |
by Arumugam Gurusamy, Erhardt A. H., Eswaramoorthy I. and Krishnan B. |
|
| dc.format.extent |
vol. 54 |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Elsevier |
en_US |
| dc.subject |
Keller-Segel system |
en_US |
| dc.subject |
Weak solutions |
en_US |
| dc.subject |
Fixed point theorem |
en_US |
| dc.title |
Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
Nonlinear Analysis |
|