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Abstract

Obviously, there is always considerable interest in rigorous formulations of initial-boundary value (I-BV) problems for various systems of partial differ- ential equations that arise in fluid dynamics. This interest stems, primarily, from efforts to create useful computational models of various processes for the prediction and the detailed study of various flow phenomena. As a matter of fact, the main mathematical problem is to discover and specify the cir- cumstances that give rise to solutions that persist forever. Only after having done that can we expect to construct proofs that such solutions exist, are unique, and regular.

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© 2002 Springer-Verlag Berlin Heidelberg

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Zeytounian, R.K. (2002). Rigorous Mathematical Results. In: Theory and Applications of Nonviscous Fluid Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56215-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-56215-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62551-0

  • Online ISBN: 978-3-642-56215-0

  • eBook Packages: Springer Book Archive

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