Journal article
Critical threshold phenomena in a mixed-type system of conservation laws modeling attractive chemotaxis
Journal of mathematical physics, Vol.66(4), 041510
04/2025
DOI: 10.1063/5.0239296
Abstract
This paper is concerned with the critical threshold phenomena associated with the Cauchy problem for a mixed-type one-dimensional system of conservation laws modeling attractive chemotaxis. We prove the global existence of a unique C1 solution in the strictly hyperbolic region under certain conditions on the composition of the eigenvalues and the initial data. We also show that if these conditions are violated, there is a finite time such that slopes of the solution become unbounded as the life span of the solution is approached.
Details
- Title: Subtitle
- Critical threshold phenomena in a mixed-type system of conservation laws modeling attractive chemotaxis
- Creators
- José David Beltrán - Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242, USATong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.66(4), 041510
- Publisher
- AIP Publishing
- DOI
- 10.1063/5.0239296
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 8
- Grant note
- University of Iowa (https://doi.org/10.13039/100008893)
- Language
- English
- Date published
- 04/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984810944202771
Metrics
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