Modeling transfer phenomena
Analysis and Control of Systems of PDEs. Transport phenomena

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Modeling transfer phenomena
Analysis and Control of Systems of PDEs. Transport phenomena

Authors : Vincent ANDRIEU, Jean AURIOL, Swann MARX

Publication date: May 10, 2024 | Lire en français

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1. Modeling transfer phenomena

Many methods for controlling transfer phenomena require mathematical modeling of these systems. At times, we also refer to the equations governing transfer phenomena as transport equations. By using equations that describe the flow of matter, energy or momentum, it is possible to obtain equations that describe the behavior over time of these systems. In this section, we provide a brief overview of some forms of partial differential equations. These models are representative of the types of PDEs that typically arise in the mathematical description of these transfer phenomena.

1.1 Local conservation laws and balance equations

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