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Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
| Content Provider | Semantic Scholar |
|---|---|
| Author | Li, Tong Wang, Zhi-An |
| Copyright Year | 2011 |
| Abstract | Abstract In this paper, we establish the existence and the nonlinear stability of traveling wave solutions to a system of conservation laws which is transformed, by a change of variable, from the well-known Keller–Segel model describing cell (bacteria) movement toward the concentration gradient of the chemical that is consumed by the cells. We prove the existence of traveling fronts by the phase plane analysis and show the asymptotic nonlinear stability of traveling wave solutions without the smallness assumption on the wave strengths by the method of energy estimates. |
| Starting Page | 1310 |
| Ending Page | 1333 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| Volume Number | 250 |
| Alternate Webpage(s) | http://www.mypolyuweb.hk/~mawza/JDE_TW.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jde.2010.09.020 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
