118 Downloads 218 Views
Author(s)
Lena JT Strömberg, Previously Dep of Solid Mechanics, Royal Inst of Technology, KTH
Abstract
Solutions to the NavierStokes equations for the Millenium Prize Problem are provided. These consist of a transient PileUp flow. A proof is given to show that the flow functions satisfy the Boundary Conditions at infinity. The proof for the spatial derivatives of velocity, u, and force, f, relies on decomposition of an exponential function, CauchySchwarz and induction.
Keywords
NavierStokes, Millennium Prize, Pile Up flow, Lena PileUp, Theorem, Proof, decomposition, CauchySchwarz, induction, exponential function, velocity, coordinates
Cite this paper
Lena JT Strömberg,
Pileup flowsolutions toNavierStokes equations in the Millennium Prize Problemversion with isochoric condition and regularity requirements, SCIREA Journal of Mathematics. Vol.
1
, No.
1
,
2016
, pp.
145

148
.
References
[ 1 ]  Charles Fefferman. (2000) http://en.wikipedia.org/wiki/NavierStokes_existence_and_smoothness http://www.claymath.org/millennium/NavierStokes_Equations/ 
[ 2 ]  Strömberg L (2007). Formations of matter, light and sound described with Bernoulli's principle 10th ESAFORM Conference on Material Forming, Pts A and B / [ed] Cueto, E; Chinesta, F, MELVILLE: AMER INST PHYSICS, Vol. 907, 5358 s. 
[ 3 ]  Strömberg L (2016). Noncircular orbits at MC vehicle wobbling, in whirls and for light, LAP Lambert Academic publishing, Germany. ISBN13 9783659856648. 