Abstract
To see how conservation laws arise from physical principles, we will begin by deriving the equation for conservation of mass in a one-dimensional gas dynamics problem, for example flow in a tube where properties of the gas such as density and velocity are assumed to be constant across each cross section of the tube. Let x represent the distance along the tube and let p(x, t) be the density of the gas at point x and time t.
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© 1992 Springer Basel AG
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LeVeque, R.J. (1992). The Derivation of Conservation Laws. In: Numerical Methods for Conservation Laws. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8629-1_2
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DOI: https://doi.org/10.1007/978-3-0348-8629-1_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2723-1
Online ISBN: 978-3-0348-8629-1
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