Multifractal Phenomena in Turbulence
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Complexity".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 44
Special Issue Editor
Special Issue Information
Dear Colleagues,
This Special Issue will serve as a platform for presenting and critically comparing recent developments in the microscopic theory, phenomenological modeling, and experimental validation of turbulence, with a focus on multifractal phenomena. We aim to bring together leading experts across three complementary domains:
- Microscopic theory: Contributions will include recent advances such as the Euler ensemble and loop-equation-based exact solutions of decaying turbulence, which challenge conventional assumptions and offer a rigorous, first-principles approach.
- Phenomenological modeling: We invite proponents of multifractal models to present their formulations, summarize their predictive successes, and engage with new developments from a theoretical perspective.
- Experimental and numerical studies: The issue will feature input from leading groups performing high-resolution DNS and physical experiments, enabling data-driven validation and benchmarking of competing theoretical frameworks.
Rather than promoting a single school of thought, this Special Issue will serve as a forum for open scientific dialogue among researchers working at the forefront of turbulence theory and experiment. The ultimate goal is to assess the current state of the field, identify points of convergence and divergence between models and exact theory, and outline the next steps toward a unified understanding of decaying turbulence and multifractal scaling.
Prof. Dr. Alexander A. Migdal
Guest Editor
Manuscript Submission Information
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Keywords
- turbulence theory
- multifractal phenomena
- microscopic theory
- phenomenological modeling
- numerical simulation
- experimental validation
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