COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Diffraction by wedges: higher order boundary conditions, integral transforms, vector Riemann-Hilbert problems, and Riemann surfaces

## Diffraction by wedges: higher order boundary conditions, integral transforms, vector Riemann-Hilbert problems, and Riemann surfacesAdd to your list(s) Download to your calendar using vCal - Yuri Antipov (Louisiana State University)
- Friday 01 November 2019, 13:30-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. CATW02 - Complex analysis in mathematical physics and applications Acoustic and electromagnetic diffraction by a wedge is modeled by one and two Helmholtz equations coupled by boundary conditions. When the wedge walls are membranes or elastic plates, the impedance boundary conditions have derivatives of the third or fifth order, respectively. A new method of integral transforms for right-angled wedges is proposed. It is based on application of two Laplace transforms. The main feature of the method is that the second integral transform parameter is a specific root of the characteristic polynomial of the ordinary differential operator resulting from the transformed PDE by the first Laplace transform. For convex domains (concave obstacles), the problems reduce to scalar and order-2 vector Riemann-Hilbert problems. When the wedge is concave (a convex obstacle), the acoustic problem is transformed into an order-3 Riemann-Hilbert problem. The order-2 and 3 vector Riemann-Hilbert problems are solved by recasting them as scalar Riemann-Hilbert problems on Riemann surfaces. Exact solutions of the problems are determined. Existence and uniqueness issues are discussed. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsESRCDTC Annual Lecture Violence Research Centre, Institute of Criminology GBR talks## Other talksAdventures in anisotropy at the base of the mantle: New constraints on deep mantle dynamics AI4ER-CEDSG group meeting Dendritic Cell Migration at Various Scales HLA-E Revisited Climate Change Mitigation Policies: Distributional and Allocative Effects The roots of change: global change and mycorrhizal symbiosis through the Phanerozoic |