Abstract
One of the most tantalizing areas of modern mathematical physics is the theory of turbulence. The complexity of the physical process, combined with the nonlinearity of the hydrodynamical equations, precludes any direct analytic approach and forces us to study various types of approximation techniques. A quite useful technique in many investigations is the analysis of “model equations” which, hopefully, exhibit many of the essential characteristics of the more realistic and correspondingly more recalcitrant equations.
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Bibliography and Comments
Bellman, R., S.P. Azen, and J.M. Richardson, ‘On New and Direct Computational Approaches to Some Mathematical Models of Turbulence’, Quarterly of Applied Mathematics XXIII (1965), 55–67.
Bellman, R., Methods of Nonlinear Analysis, Vol. II, Academic Press, Inc., New York, 1973.
Bellman, R., ‘On the Validity of Truncation for Infinite Systems of Ordinary Differential Equations Associated with Nonlinear Partial Differential Equations’, Journal of Mathematical and Physical Sciences 1 (1967) 95–100.
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© 1985 D. Reidel Publishing Company
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Bellman, R., Adomian, G. (1985). Infinite Systems of Differential Equations. In: Partial Differential Equations. Mathematics and Its Applications, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5209-6_14
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DOI: https://doi.org/10.1007/978-94-009-5209-6_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8804-6
Online ISBN: 978-94-009-5209-6
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