Hyperbolic balance laws in the context of cosmological fluids
A talk in the Oberseminar Analysis series by
Maximilian Ofner
| Abstract: | Hyperbolic balance laws crop up in many physical theories including compressible fluid dynamics, electromagnetism, and general relativity. More abstractly, they play a role in models featuring wave phenomena. If nonlinear, these systems are prone to singularity formation, meaning that even small data with high regularity can launch solutions that blow up in finite time. As it turns out, such behavior is generic for conservation laws in low dimension. However, with an appropriate damping source, the formation of singularities like shocks is suppressed for sufficiently small data. In this talk we will discuss how expanding spacetimes, as found in cosmology, can create such a damping effect and explore the dynamics of these competing mechanisms. Meeting ID: 639 2876 8344 Password: 054853 Within the CRC this talk is associated to the project(s): A1 |