Wednesday, 19.03.2025 | |
Type | seminar in the framework of the PDE Afternoon |
Time | 15:30 - 16:00 |
Place | University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz 1, Vienna (map) |
Room | HS 2, ground floor - how to get there |
Speaker | (TU Wien) |
Title | Helmholtz decompositions in broken Sobolev spaces |
Abstract | One version of the classical Helmholtz decomposition states that every vector field v∈H(curl) can be decomposed into a more regular vector field and a gradient field.
We extend this result by considering vector fields v that are piecewise regular and satisfy certain transmission conditions across surfaces of discontinuity. We show that such a v can be decomposed in a vector field w that is piecewise even more regular than v and either a gradient field ∇ψ or a solenoidal field curlz. Finally, we apply these findings to derive wavenumber-explicit regularity estimates for Maxwell's equations in piecewise smooth media. |
Notes | This event takes place in hybrid form (in person and online on Zoom). Slides and additional materials are available on the Moodle service of the University of Vienna. If you want additional details (for example, if you want to attend an event online and would like to receive the Zoom link), please write an email to matteo.tommasini@univie.ac.at. Further details are available at this link. |
Attachment | link |
Zoom meeting | Details about this Zoom meeting are not shown because you are not logged in as user of the private SFB website. If you are a user of the SFB website: click here to log in (after successful login, you will be redirect again to this page, showing the details of the Zoom meeting). If you are not a user of the SFB website: the Zoom details are sent via email in the SFB Newsletter and can be also requested via email to matteo.tommasini@univie.ac.at (please write from an institutional email address - this reduces the risk of Zoombombing). |
Click here to list all the events taking place on Wednesday, 19.03.2025.