Alexander G. Ramm, Ph.D., is a Professor Emeritus of Mathematics at Kansas State University. He is the author of approximately 715 research papers, 20 research monographs, and an editor of three books. Dr. Ramm won the Khwarizmi international award in 2004. His research interests include analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics.

• Introduction.- Brief History of the Navier-Stokes Problem.- Statement of the Navier-Stokes Problem.- Theory of Some Hyper-Singular Integral Equations.- A Priori Estimates of the Solution to the NSP.- Uniqueness of the Solution to the NSP.- The Paradox and its Consequences.- Logical Analysis of Our Proof.

Alexander G. Ramm, Ph.D., is a Professor Emeritus of Mathematics at Kansas State University. He is the author of approximately 715 research papers, 20 research monographs, and an editor of three books. Dr. Ramm won the Khwarizmi international award in 2004. His research interests include analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics.

• Introduction.- Brief History of the Navier-Stokes Problem.- Statement of the Navier-Stokes Problem.- Theory of Some Hyper-Singular Integral Equations.- A Priori Estimates of the Solution to the NSP.- Uniqueness of the Solution to the NSP.- The Paradox and its Consequences.- Logical Analysis of Our Proof.

Alexander G. Ramm, Ph.D., is a Professor Emeritus of Mathematics at Kansas State University. He is the author of approximately 715 research papers, 20 research monographs, and an editor of three books. Dr. Ramm won the Khwarizmi international award in 2004. His research interests include analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics.

• Introduction.- Brief History of the Navier-Stokes Problem.- Statement of the Navier-Stokes Problem.- Theory of Some Hyper-Singular Integral Equations.- A Priori Estimates of the Solution to the NSP.- Uniqueness of the Solution to the NSP.- The Paradox and its Consequences.- Logical Analysis of Our Proof.