Analysis of the Landau Solution Contributor(s): Sauer, Jonas (Author) |
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ISBN: 3656016372 ISBN-13: 9783656016373 Publisher: Grin Verlag
Binding Type: Paperback Published: September 2011 |
Additional Information |
BISAC Categories: - Mathematics | Vector Analysis - Mathematics | Mathematical Analysis |
Physical Information: 0.1" H x 5.83" W x 8.27" L (0.14 lbs) 40 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Bachelor Thesis from the year 2010 in the subject Mathematics - Analysis, grade: 1,0, Technical University of Darmstadt, language: English, abstract: In 1944 Lev D. Landau found a non-trivial solution to a stationary Navier-Stokes flow on R3, which was symmetric around some axis and fulfilled the condition, that the velocity decayed linearly and the pressure quadratically in -x-, depending on a parameter -1 1. As it turns out, such a modified Landau solution is no longer a solution to a Navier-Stokes system - clearly not in the classical, but as well neither in the weak nor very weak sense. If d = 1, the velocity will be unbounded on the half line x1 = x2 = 0, x3 >= 0. In this case, we have a bit more insight in the behaviour of the modified Landau solution, yet still no physically reasonable interpretation can be given in the whole space R3. In any case, one can c |
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