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Scalar Conservation Laws and First Order Equations

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Partial Differential Equations in Action

Part of the book series: UNITEXT ((UNITEXTMAT,volume 86))

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Abstract

In the main part of this chapter, from Sects. 4.1 to 4.6, we consider equations of the form

$$ \begin{array}{*{20}{c}} {{u_t} + q{{\left( u \right)}_x} = 0,}&{x \in \mathbb{R},t > 0.} \end{array} $$
((4.1))

The erratum of this chapter is available at http://dx.doi.org/10.1007/978-3-319-15093-2_14

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© 2015 Springer International Publishing Switzerland

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Salsa, S. (2015). Scalar Conservation Laws and First Order Equations. In: Partial Differential Equations in Action. UNITEXT, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-319-15093-2_4

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