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http://hdl.handle.net/10397/93827
| Title: | A kinetic chemotaxis model with internal states and temporal sensing | Authors: | Wang, Z | Issue Date: | Feb-2022 | Source: | Kinetic and related models, Feb 2022, v. 15, no. 1, p. 27-48 | Abstract: | By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]. | Keywords: | Global solutions Hyperbolic limits Internal states Kinetic chemotaxis model Temporal gradient |
Publisher: | American Institute of Mathematical Sciences (AIMS Press) | Journal: | Kinetic and related models | ISSN: | 1937-5093 | EISSN: | 1937-5077 | DOI: | 10.3934/krm.2021043 | Rights: | © American Institute of Mathematical Sciences This is an Open Access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). The following publication Zhi-An Wang. A kinetic chemotaxis model with internal states and temporal sensing. Kinetic and Related Models, 2022, 15 (1) : 27-48 is available at https://doi.org/10.3934/krm.2021043. |
| Appears in Collections: | Journal/Magazine Article |
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| Wang_Kinetic_Chemotaxis_Model_.pdf | 558.86 kB | Adobe PDF | View/Open |
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