DIFTA
This seminar series continues as the dna seminar.
Differential equations in theory and applications
The topic is differential equations (both partial and ordinary differential equations).
Spring term 2011
Talks are Thursdays 14:15–15:00 in room 1329 unless otherwise noted. Talks are listed below in reverse chronological order:
| Date | Speaker and title |
|---|---|
| 2011-06-27 13:15–14:00 Room 734 S2 | Katrin Grunert (University of Vienna) Stability of solutions of the Camassa–Holm equation. Abstract: When studying the Cauchy problem for the Camassa–Holm equation the question of how to continue solutions beyond wave breaking is of special interest. In the case of conservative solutions which preserve the energy for almost all times, we present how to study the stability of such solutions by deriving a Lipschitz metric. This talk is based on joint work with H. Holden and X. Raynaud. |
| 2011-04-07 14:15–15:00 | Finn Lindgren (NTNU) Stochastic PDE methods for computationally efficient spatial statistics. Abstract: Traditional statistical methods for spatial data based on positive definite covariance functions are cumbersome and computationally inefficent. I will discuss an alternative approach based on stochastic PDEs and Hilbert space approximation, which allows local, general, and physically interpretable spatial specification of models as well as efficient statistical estimation procedures. Lindgren, Rue, Lindström, "An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach": http://www.r-inla.org/events/readpaperatrss16thmarch2011 |
| 2011-03-03 14:15–15:00 | Espen R. Jakobsen Entropy solution theory for fractional degenerate convection diffusion equations. Abstract: We consider degenerate convection diffusion equations with a fractional non-linear diffusion term. This class of equations is a natural generalization of local degenerate convection diffusion equations, and include anomalous diffusion equations, fractional conservations laws, fractional Porous medium equations, and new fractional degenerate equations as special cases. We define weak entropy solutions and prove well-posedness under weak regularity assumptions on the solutions. We introduce a new monotone conservative numerical scheme and prove convergence. We discuss the extension to general Levy operators and connections to fully non-linear HJB equations. |
| 2011-01-07 11:15–12:00 Room 734 S-2 | Mike King Towards Robust Upscaling: The Role of A Priori Error Estimates |