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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Analysis of the Landau Solution

Analysis of the Landau Solution

Sauer, Jonas

Paperback

General Mathematics

ISBN10: 3656016372
ISBN13: 9783656016373
Publisher: Grin Verlag
Published: Sep 30 2011
Pages: 40
Weight: 0.14
Height: 0.10 Width: 5.83 Depth: 8.27
Language: English
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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