In this chapter we provide an introduction to the modeling of balance laws by hyperbolic partial differential equations (PDEs). A balance law is the mathematical expression of the physical principle that the variation of the amount of some extensive quantity over a bounded domain is balanced by its flux through the boundaries of the domain and its production/consumption inside the domain. Balance laws are therefore used to represent the fundamental dynamics of many physical open conservative systems.
CITATION STYLE
Bastin, G., & Coron, J. M. (2016). Hyperbolic Systems of Balance Laws. In Progress in Nonlinear Differential Equations and Their Application (Vol. 88, pp. 1–54). Springer US. https://doi.org/10.1007/978-3-319-32062-5_1
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