241382 Introduction to stochastic scalar conservation laws (V) (SoSe 2017)
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In this lecture we will consider the recently developed theory of stochastic scalar conservation laws. A model example of this class of SPDE is given by the stochastic Burgers equation. In the first part of the lecture we will prove the well-posedness of entropy solutions to this class of SPDE. In spatially inhomogeneous cases this will rely on certain estimates from rough-path theory. In the second part of the lecture we will investigate the regularity properties of entropy and quasi-solutions to the stochastic Burgers equation. As a particularly interesting point we will observe that the regularity of quasi-solutions in the stochastic case is higher than what is true for deterministic scalar conservations laws.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| block | Block | 11:00-12:30 | V4-119 | 14.-22.08.2017 |
Subject assignments
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Bielefeld Graduate School in Theoretical Sciences / Promotion | |||||||
| Mathematik / Promotion | Subject-specific qualification | 1 | aktive Teilnahme | ||||
| Mathematik / Promotion | Subject-specific qualification | 1 | unbenotet |
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- Last update basic details/teaching staff:
- Monday, July 31, 2017
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- Tuesday, August 1, 2017
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- Tuesday, August 1, 2017
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 1
- Department
- Faculty of Mathematics
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