Discrete hypocoercivity for a nonlinear kinetic reaction model Article Swipe
Marianne Bessemoulin-Chatard
,
Tino Laidin
,
Thomas Rey
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1093/imanum/drae058
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1093/imanum/drae058
In this article we propose a finite-volume discretization of a one-dimensional nonlinear reaction kinetic model proposed in Neumann & Schmeiser (2016), which describes a two-species recombination-generation process. Specifically, we establish the long-time convergence of approximate solutions towards equilibrium, at exponential rate. The study is based on an adaptation for a discretization of the linearized problem of the $L^{2}$ hypocoercivity method introduced in Dolbeault et al. (2015). From this we can deduce a local result for the discrete nonlinear problem, in the sense that small initial perturbations from the steady state are considered. As in the continuous framework this result requires the establishment of a maximum principle, which necessitates the use of monotone numerical fluxes.
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- article
- Language
- en
- Landing Page
- https://doi.org/10.1093/imanum/drae058
- OA Status
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- References
- 36
- Related Works
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- OpenAlex ID
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https://doi.org/10.1093/imanum/drae058Digital Object Identifier
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Discrete hypocoercivity for a nonlinear kinetic reaction modelWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-08-19Full publication date if available
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Marianne Bessemoulin-Chatard, Tino Laidin, Thomas ReyList of authors in order
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https://doi.org/10.1093/imanum/drae058Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2403.04699Direct OA link when available
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Mathematics, Nonlinear system, Kinetic energy, Applied mathematics, Classical mechanics, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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10Other works algorithmically related by OpenAlex
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| publication_date | 2024-08-19 |
| publication_year | 2024 |
| referenced_works | https://openalex.org/W3175504352, https://openalex.org/W4287065041, https://openalex.org/W2054210282, https://openalex.org/W2039770548, https://openalex.org/W2974509411, https://openalex.org/W4389304864, https://openalex.org/W4302028629, https://openalex.org/W4210522999, https://openalex.org/W2996591744, https://openalex.org/W6860603315, https://openalex.org/W2088841695, https://openalex.org/W2963492180, https://openalex.org/W2067704180, https://openalex.org/W2990776771, https://openalex.org/W2066501150, https://openalex.org/W1987885817, https://openalex.org/W4307409631, https://openalex.org/W1977657887, https://openalex.org/W6861704204, https://openalex.org/W2996414296, https://openalex.org/W3182697488, https://openalex.org/W2414732648, https://openalex.org/W2092411216, https://openalex.org/W3119742251, https://openalex.org/W2094027993, https://openalex.org/W2765225568, https://openalex.org/W2090385746, https://openalex.org/W2021268474, https://openalex.org/W2963022223, https://openalex.org/W2963515288, https://openalex.org/W2317502341, https://openalex.org/W6835843900, https://openalex.org/W2076582418, https://openalex.org/W641537683, https://openalex.org/W4390895473, https://openalex.org/W4391159313 |
| referenced_works_count | 36 |
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