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| 001 | 978-3-031-30723-2 | ||
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_a10.1007/978-3-031-30723-2 _2doi |
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_aRamm, Alexander G. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _984805 |
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| 245 | 1 | 0 |
_aAnalysis of the Navier-Stokes Problem _h[electronic resource] : _bSolution of a Millennium Problem / _cby Alexander G. Ramm. |
| 250 | _a2nd ed. 2023. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2023. |
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| 300 |
_aXVI, 87 p. 1 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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| 505 | 0 | _aIntroduction -- 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. | |
| 520 | _aThis book revises and expands upon the prior edition, The Navier-Stokes Problem. The focus of this book is to provide a mathematical analysis of the Navier-Stokes Problem (NSP) in R^3 without boundaries. Before delving into analysis, the author begins by explaining the background and history of the Navier-Stokes Problem. This edition includes new analysis and an a priori estimate of the solution. The estimate proves the contradictory nature of the Navier-Stokes Problem. The author reaches the conclusion that the solution to the NSP with smooth and rapidly decaying data cannot exist for all positive times. By proving the NSP paradox, this book provides a solution to the millennium problem concerning the Navier-Stokes Equations and shows that they are physically and mathematically contradictive. In addition, this book: Explains the background and history of the Navier-Stokes Problem Provides mathematical analysis of the Navier-Stokes Problem in R3 without boundaries Proves that the Navier-Stokes equations are physically and mathematically contradictive About the Author: 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. | ||
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_aMathematics. _911584 |
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_aMathematical logic. _92258 |
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_aMathematics _xData processing. _919904 |
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_aMathematics. _911584 |
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_aMathematical Logic and Foundations. _934712 |
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_aComputational Mathematics and Numerical Analysis. _931598 |
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_aApplications of Mathematics. _931558 |
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_aSpringerLink (Online service) _984808 |
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_iPrinted edition: _z9783031307225 |
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_iPrinted edition: _z9783031307249 |
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_iPrinted edition: _z9783031307256 |
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_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _984809 |
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