The Navier-Stokes Problem
@inproceedings{Ramm2019TheNP,
title={The Navier-Stokes Problem},
author={Alexander G. Ramm},
booktitle={Synthesis Lectures on Mathematics and Statistics},
year={2019}
}One of the millennium problems is discussed. The results of the author’s solution to this problem are explained. The problem discussed is the Navier-Stokes problem in the whole space.
7 Citations
Comments on the Navier-Stokes Problem
- Mathematics, PhilosophyAxioms
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The Navier–Stokes problem (NSP) in R3 without boundaries is proved that the NSP is contradictory in the following sense: if one assumes that the initial data v(x,0)≢0, ∇·v(X,0)=0 and the solution to the N SP exists for all t≥0, then one proves that the solution v (x,t) to theNSP has the property v( x, 0)=0.
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Sufficient conditions are given for a function F (p), analytic in Rep > 0, to be a Laplace transform of a function f(t), such that maxt≥0|f(t)| < ∞, f(0) = 0.
References
Symmetry Problems. The Navier-Stokes Problem
- MathematicsSymmetry Problems. The Navier-Stokes Problem
- 2019
Abstract This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It...