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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 42))

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Abstract

Traditionally all the macroscopic phenomena observed in nature have been studied via solutions of differential equations which are described by smooth and continuous curves. This approach works very well for a class of problem like the planetary motion where the orbits are regular geometric objects (namely, ellipsi). However, there is a class of problems like the fluid turbulence which involves growth of objects of irregular shape and cannot be studied via smooth solutions of differential equations.

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© 1997 Springer Science+Business Media Dordrecht

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Shivamoggi, B.K. (1997). Nonlinear Differential Equations. In: Nonlinear Dynamics and Chaotic Phenomena. Fluid Mechanics and Its Applications, vol 42. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2442-5_2

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  • DOI: https://doi.org/10.1007/978-94-017-2442-5_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4926-1

  • Online ISBN: 978-94-017-2442-5

  • eBook Packages: Springer Book Archive

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