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Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai

Haubold, Hans, Kumar, Dilip, Nair, Seema, Joseph, Dhannya (2010)

Fractional Calculus and Applied Analysis

The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information...

Stability and instability in nineteenth-century fluid mechanics

Olivier Darrigol (2002)

Revue d'histoire des mathématiques

The stability or instability of a few basic flows was conjectured, debated, and sometimes proved in the nineteenth century. Motivations varied from turbulence observed in real flows to permanence expected in hydrodynamic theories of matter. Contemporary mathematics often failed to provide rigorous answers, and personal intuitions sometimes gave wrong results. Yet some of the basic ideas and methods of the modern theory of hydrodynamic instability occurred to the elite of British and German mathematical...

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