Solenoidal Lipschitz truncation and applications in fluid mechanics
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Mon, 05/03/2012 17:00 |
Lars Diening (University of Munich) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| We consider the stationary flow of Prandtl-Eyring fluids in two dimensions. This model is a good approximation of perfect plasticity. The corresponding potential is only slightly super linear. Thus, many severe problems arise in the existence theory of weak solutions. These problems are overcome by use of a divergence free Lipschitz truncation. As a second application of this technique, we generalize the concept of almost harmonic functions to the Stokes system. | |||