Properties of operators related to the Boltzmann collision term
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František Chvála (1986)
Acta Universitatis Carolinae. Mathematica et Physica
Antonio Romano (1983)
Rendiconti del Seminario Matematico della Università di Padova
Ciprian Foias, Ricardo M. S. Rosa, Roger Temam (2013)
Annales de l’institut Fourier
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. This solution...
Lu, Jing, Tiab, Djebbar (2010)
Mathematical Problems in Engineering
Cung The Anh, Dang Thanh Son (2015)
Annales Polonici Mathematici
We study the 2D magnetohydrodynamic (MHD) equations for a viscous incompressible resistive fluid, a system with the Navier-Stokes equations for the velocity field coupled with a convection-diffusion equation for the magnetic fields, in an arbitrary (bounded or unbounded) domain satisfying the Poincaré inequality with a large class of non-autonomous external forces. The existence of a weak solution to the problem is proved by using the Galerkin method. We then show the existence of a unique minimal...
Sankar, D.S. (2010)
Mathematical Problems in Engineering
Rathod, V.P., Tanveer, Shakera (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Sankar, D.S., Lee, Usik (2010)
Mathematical Problems in Engineering
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