Hydrodynamic and hydrostatic limit for a contact process with random slowdowns in finite volume and with slow boundaries Article Swipe
We consider an interacting particle system which models the sterile insect technique. It is the superposition of a generalized contact process with exchanges of particles on a finite cylinder with open boundaries (see Kuoch et al., 2017). We show that when the system is in contact with reservoirs at different slowdown rates, the hydrodynamic limit is a set of coupled non linear reaction-diffusion equations with mixed boundary conditions. We also prove the hydrostatic limit when the macroscopic equations exhibit a unique attractor.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2212.07762
- https://arxiv.org/pdf/2212.07762
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4311617151
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Raw OpenAlex JSON
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https://openalex.org/W4311617151Canonical identifier for this work in OpenAlex
- Title
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Hydrodynamic and hydrostatic limit for a contact process with random slowdowns in finite volume and with slow boundariesWork title
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preprintOpenAlex work type
- Language
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enPrimary language
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2022Year of publication
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2022-12-14Full publication date if available
- Authors
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Mustapha Mourragui, Ellen Saada, Sonia VelascoList of authors in order
- Landing page
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https://arxiv.org/abs/2212.07762Publisher landing page
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https://arxiv.org/pdf/2212.07762Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2212.07762Direct OA link when available
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Hydrostatic equilibrium, Limit (mathematics), Finite volume method, Volume (thermodynamics), Mechanics, Statistical physics, Process (computing), Geology, Materials science, Computer science, Physics, Mathematics, Mathematical analysis, Thermodynamics, Operating system, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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