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Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-diffusion system
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Title: | Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-diffusion system |
Authors: | Okamoto, Mamoru Browse this author | Gotoda, Takeshi Browse this author | Nagayama, Masaharu Browse this author →KAKEN DB |
Keywords: | self-propelled motion | bimodal travelling wave solution | mathematical modelling | global solvability |
Issue Date: | 21-May-2021 |
Publisher: | IOP Publishing |
Journal Title: | Journal of Physics Communications |
Volume: | 5 |
Issue: | 5 |
Start Page: | 055016 |
Publisher DOI: | 10.1088/2399-6528/ac0100 |
Abstract: | In recent years, a mathematical model for collective motions of a self-propelled material have been introduced on the basis of the experiments and numerical analysis for the model have made progress in theoretical understanding of the mechanism of collective motions. On the other hand, there are few mathematically rigorous studies for the mathematical model. In this study, to provide mathematical justification for the mathematical model and its numerical analysis, we show the global existence of a unique solution of the mathematical model for a self-propelled motion on R. Moreover, we give sufficient conditions for the existence of a non-trivial travelling solution on R, which we call a bimodal travelling wave solution. |
Rights: | http://creativecommons.org/licenses/by/4.0 |
Type: | article |
URI: | http://hdl.handle.net/2115/82157 |
Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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