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 > Partial Differential Equations seminar > STRICHARTZ ESTIMATES FOR THE 2D AND 3D MASSLESS DIRAC-COULOMB EQUATIONS

## STRICHARTZ ESTIMATES FOR THE 2D AND 3D MASSLESS DIRAC-COULOMB EQUATIONSAdd to your list(s) Download to your calendar using vCal - Elena Danesi
- Monday 29 April 2024, 14:00-15:00
- MR13.
If you have a question about this talk, please contact Dr Greg Taujanskas. The massless Dirac equation with a Coulomb potential is interesting both from a physical and a mathematical point of view; it appears in some physical models, for instance the 2D equation is used to describe the dynamics of carbon atoms in a sheet of non-perfect graphene, and on the mathematical side the homogeneity of degree -1 of the potential seems to have a critical behavior, as |x| goes to infinity, since Strichartz estimates are known to hold for potentials that decay faster and there are examples of potentials decaying slower such that the corresponding flows do not disperse. In this talk I will present a recent result concerning Strichartz estimates for the solutions of the massless Dirac-Coulomb equation in 2 and 3 dimension with additional angular regularity. It extends the result on R3 of Cacciafesta-Séré-Zhang and provides completely new estimates on R2. As an application we will discuss a local well-posedness result for a nonlinear system. This talk is part of the Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR13
- My seminars
- Partial Differential Equations seminar
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsDiversity Cinema at UIS Law & Society in History: Mobilities, Scales, Methods CUAAS (Cambridge University Atheist and Agnostic)## Other talksQuantum Groups The sense of smell: from an overlooked research field to new approaches Who said using GPUs was straightforward? - Straightforward GPU programming in SYCL and OpenMP The Navier-Stokes equations in active and multi-phase flows Universal distribution of the number of minima for random walks and Lévy flights Welcome & Introduction |