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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https://doi.org/10.1057/978-1-137-48769-8There is at most one solution in . of the NSP (.)–(.). To prove uniqueness of the solution to the NSP assume that . and . solve Eq. (.). Let .. We have (with . and . the convolution in .) . so . One has . By inequalities (.), (.), and (.), one gets from (.) the inequality: . Take the norm . of both parts of inequality (.) and get . Denote ..

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https://doi.org/10.1057/978-1-137-48769-8Let the assumption (1.15) p. 4 hold. In this chapter we prove that the NSP (3.1)–(3.3) implies the following.

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Introduction,In this work a proof of the author’s basic results concerning the Navier-Stokes problem (NSP) is given.

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,Statement of the Navier–Stokes Problem,The NSP consists of solving the following equations. .where ..

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Logical Analysis of Our Proof,The NSP is formulated in Eq. (.).