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Moscow Mathematical Journal, 2003, Volume 3, Number 2, Pages 711–737
DOI: https://doi.org/10.17323/1609-4514-2003-3-2-711-737 (Mi mmj107) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Eleven great problems of mathematical hydrodynamics

V. I. Yudovich

Rostov State University
Full-text PDF Citations (41)
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DOI: https://doi.org/10.17323/1609-4514-2003-3-2-711-737
Abstract: The key unsolved problems of mathematical fluid dynamics, their current state and outlook are discussed. These problems concern global existence and uniquness theorems for basic boundary and initial-boundary value problems in the theory of ideal and viscous incompressible fluids, the spectral problems in hydrodynamic stability theory for steady and time periodic flows, creation of secondary, tertiary, etc…flow regimes as a result of bifurcations and the asymptotics of vanishing viscosity. Several new problems are formulated.
Key words and phrases: Incompressible fluid, unsolved problems, existence, uniqueness, stability, asymptotics.
Received: February 16, 2002
Bibliographic databases:
MSC: 37Nxx, 35Qxx
Language: English
Citation: V. I. Yudovich, “Eleven great problems of mathematical hydrodynamics”, Mosc. Math. J., 3:2 (2003), 711–737
Citation in format AMSBIB
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\paper Eleven great problems of mathematical hydrodynamics
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\vol 3
\issue 2
\pages 711--737
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