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This monograph is about the paradox related to the Navier-Stokes equations and the resulting solution of the millennium problem related to the Navier-Stokes problem in R3 and the solution to wave scattering problem by many small particles under the assumption a<<d<<λ, where a is the characteristic size of small particles, d is the distance between neighboring particles and λ is the wavelength.
Alexander G. Ramm was born in Russia, emigrated to USA in 1979 and is a US citizen. He is Professor Emeritus of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis and applied mathematics. He is an author of 737 research papers, 25 research monographs and an editor of 3 books. He has lectured at many Universities throughout the world, gave more than 160 invited and plenary talks at various Conferences, and had supervised 11 Ph.D students. He was Fulbright Research Professor in Israel and Ukraine; distinguished visiting professor in Mexico and Egypt; Mercator Professor in Germany; Research Professor in France; invited plenary speaker at the 7-th PACOM; he won Khwarizmi international award in 2004 and received other honors.