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On some nonlinear nonisotropic quasi-self-similar functions

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Abstract

Nonlinear nonisotropic quasi-self-similar functions are important because of their relation with many physical phenomena such as fully developed turbulence or diffusion limited aggregates. Such functions are superpositions of “similar" structures at different scales, reminiscent of some modelization of turbulence. In this paper we continue to study such a class of functions. We extend our results in [Ben Mabrouk. A., Far East J. Dynam. Syst. 7(1), 23–63 (2005)] to some nonlinear cases and where some separation condition is not satisfied.

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Authors and Affiliations

  1. Computational Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, 5019, Monastir, Tunisia

    Anouar Ben Mabrouk

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  1. Anouar Ben Mabrouk
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Correspondence to Anouar Ben Mabrouk.

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Mathematics subject classification (2000): 42C40, 28A80, 76M55

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Mabrouk, A.B. On some nonlinear nonisotropic quasi-self-similar functions. Nonlinear Dyn 51, 379–398 (2008). https://doi.org/10.1007/s11071-007-9218-1

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