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Partial Differential Equations III pp 413–529Cite as

Nonlinear Hyperbolic Equations

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 117))

Abstract

Here we study nonlinear hyperbolic equations, with emphasis on quasi-linear systems arising from continuum mechanics, describing such physical phenomena as vibrating strings and membranes and the motion of a compressible fluid, such as air.

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  1. Department of Mathematics, University of North Carolina, Chapel Hill, NC, 27599, USA

    Michael E. Taylor

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Taylor, M.E. (2011). Nonlinear Hyperbolic Equations. In: Partial Differential Equations III. Applied Mathematical Sciences, vol 117. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7049-7_4

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