Approximation of homogeneous measures in the 2-Wasserstein metric.
Dostoglou, S., Kahl, J.D. (2009)
Mathematical Physics Electronic Journal [electronic only]
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Dostoglou, S., Kahl, J.D. (2009)
Mathematical Physics Electronic Journal [electronic only]
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C. Foiaş (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Ciprian Foias, Ricardo M. S. Rosa, Roger Temam (2013)
Annales de l’institut Fourier
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This work is devoted to the concept of statistical solution of the Navier-Stokes equations, proposed as a rigorous mathematical object to address the fundamental concept of ensemble average used in the study of the conventional theory of fully developed turbulence. Two types of statistical solutions have been proposed in the 1970’s, one by Foias and Prodi and the other one by Vishik and Fursikov. In this article, a new, intermediate type of statistical solution is introduced and studied....
Marco Cannone (1997)
Revista Matemática Iberoamericana
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We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L(R)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.
Androulakis, George, Dostoglou, Stamatis Dostoglou (2004)
Mathematical Physics Electronic Journal [electronic only]
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Mazumdar, H.P., Tsagas, Gr., Ghosh, S.C. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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H. Länger (1980)
Colloquium Mathematicae
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Ricardo M. S. Rosa (2002)
Applications of Mathematics
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Some rigorous results connected with the conventional statistical theory of turbulence in both the two- and three-dimensional cases are discussed. Such results are based on the concept of stationary statistical solution, related to the notion of ensemble average for turbulence in statistical equilibrium, and concern, in particular, the mean kinetic energy and enstrophy fluxes and their corresponding cascades. Some of the results are developed here in the case of nonsmooth boundaries...
C. Foias (1973)
Rendiconti del Seminario Matematico della Università di Padova
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