Journal article
RIEMANN PROBLEM FOR A NON-STRICTLY HYPERBOLIC SYSTEM IN CHEMOTAXIS
Discrete and continuous dynamical systems. Series B, Vol.27(4), pp.2173-2187
04/01/2022
DOI: 10.3934/dcdsb.2021128
Abstract
The Riemann problem is solved for a system arising in chemotaxis. The system is of mixed-type and transitions from a hyperbolic to an elliptic region. It is genuinely nonlinear in the u-v plane except on the v-axis, where it is linearly degenerate. We have solved the Riemann problem in the physically relevant region up to the boundary of the hyperbolic-elliptic region, which is non-strictly hyperbolic. We also solved the problem on the linearly degenerate region. While solving the Riemann problem, we found classical shock and rarefaction waves in the hyperbolic region and contact discontinuities in the linearly degenerate region.
Details
- Title: Subtitle
- RIEMANN PROBLEM FOR A NON-STRICTLY HYPERBOLIC SYSTEM IN CHEMOTAXIS
- Creators
- Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USANitesh Mathur - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Discrete and continuous dynamical systems. Series B, Vol.27(4), pp.2173-2187
- DOI
- 10.3934/dcdsb.2021128
- ISSN
- 1531-3492
- eISSN
- 1553-524X
- Publisher
- Amer Inst Mathematical Sciences-Aims
- Number of pages
- 15
- Language
- English
- Date published
- 04/01/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984305894002771
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