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- W3100114477 abstract "We consider a discrete set of individual agents interacting with a continuum. Examples might be a predator facing a huge group of preys, or a few shepherd dogs driving a herd of sheep. Analytically, these situations can be described through a system of ordinary differential equations coupled with a scalar conservation law in several space dimensions. This paper provides a complete well-posedness theory for the resulting Cauchy problem. A few applications are considered in detail and numerical integrations are provided." @default.
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- W3100114477 date "2011-09-05" @default.
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- W3100114477 title "An Analytical Framework to Describe the Interactions Between Individuals and a Continuum" @default.
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- W3100114477 doi "https://doi.org/10.1007/s00332-011-9107-0" @default.
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