Analysis of the Landau Solution

Front Cover
GRIN Verlag, 2011 - 80 pages
0 Reviews
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 R, 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 R . In any case, one can c"
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Contents
4
Analysis of the classical case
10
Analysis of the modified Landau solution
21
A Appendix
29
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information