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Nonintegrable, Multiple Scale Formulations

Mathematical Developments in continuum physics with boundary layers

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IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 35))

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Abstract

After recalling the advantages and drawbacks of the vectorial and energy methods used in continuum physics, the need for a general formulation including coupled effects, irreversible processes and interfacial properties is placed in evidence. Such a formulation, recently developed by the author, required the establishment of new mathematical developments particularly at interfaces, generalizing thus the conventional theory of continuum physics well established in the bulk. The present paper deals with some mathematical procedures and complements a previous work where the basic physical principles were developed while the mathematical aspects were simply evoked.

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References

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© 1996 Kluwer Academic Publishers

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Daher, N. (1996). Nonintegrable, Multiple Scale Formulations. In: Duck, P.W., Hall, P. (eds) IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers. Fluid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1700-2_32

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  • DOI: https://doi.org/10.1007/978-94-009-1700-2_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7261-8

  • Online ISBN: 978-94-009-1700-2

  • eBook Packages: Springer Book Archive

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