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The Derivation Of Conservation Laws

R. LeVeque
Published 1992 · Physics

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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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