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Evolution of Discontinuities

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 96))

Abstract

This chapter is devoted to the study of some discontinuities arising in real fluids. Namely, we first study the so-called vortex sheet, that is, a situation in which the fluid is irrotational outside a manifold of codimension one. In other words, the vorticity is concentrated on a curve or on a surface, in two or three dimensions, respectively, and in these manifolds the velocity field is discontinuous.

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© 1994 Springer-Verlag New York, Inc.

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Marchioro, C., Pulvirenti, M. (1994). Evolution of Discontinuities. In: Mathematical Theory of Incompressible Nonviscous Fluids. Applied Mathematical Sciences, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4284-0_6

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  • DOI: https://doi.org/10.1007/978-1-4612-4284-0_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8722-3

  • Online ISBN: 978-1-4612-4284-0

  • eBook Packages: Springer Book Archive

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