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 consider modified Landau solutions to be solutions in certain subsets of R³, where they yield some interesting streamline plots, which are also provided in this thesis. Furthermore, we give an overview over known results concerning the Landau solution.
| Autorius: | Jonas Sauer |
| Serija: | Aus der Reihe: e-fellows.net stipendiaten-wissen |
| Leidėjas: | GRIN Verlag |
| Išleidimo metai: | 2011 |
| Knygos puslapių skaičius: | 40 |
| ISBN-10: | 3656016372 |
| ISBN-13: | 9783656016373 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Calculus and mathematical analysis |
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