Titlebook: Analysis of the Navier-Stokes Problem; Solution of a Millen Alexander G. Ramm Book 2023Latest edition The Editor(s) (if applicable) and The

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Book 2023Latest editionl 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..

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1938-1743 oundaries.Proves that the Navier-Stokes equations are physic.This 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

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Les Gallo-Silver,David Bimbi,Michael Rembis.. Taking the Laplace transform of (.) one gets . where formula (A2.13) was used: . Here . is the gamma function and formula (.) is valid classically for .; this formula is valid for all complex . except ., by analytic continuation with respect to . because . is analytic in . except for the points .

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Analysis of the Navier-Stokes Problem978-3-031-30723-2Series ISSN 1938-1743 Series E-ISSN 1938-1751

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https://doi.org/10.1057/978-1-137-48769-8The NSP consists of solving the following equations. .where ..

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Les Gallo-Silver,David Bimbi,Michael RembisOne of the . estimates was formulated and proved in Lemma?., namely, estimate (.): . where .(.,?.) is a solution to the NSP (.)–(.). It was proved under the assumption . The other basic . estimate is formulated in Theorem?.. Let us use this result and the Parseval’s equation to derive the following theorem.