Tue, 07 May 2024
14:00
L6

TBA

Yan Fyodorov
(King's College London)
Abstract

TBA

Mon, 18 Mar 2024 14:15 -
Tue, 19 Mar 2024 15:00
L2

Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry

Professor Dehua Wang
(University of Pittsburgh)
Further Information

This course is running as part of the National PDE Network Meeting being held in Oxford 18-21 March 2024, and jointly with the 13th Oxbridge PDE conference.

The course is broken into 3 sessions over two days, with all sessions taking place in L2:

14:15-14:55:    Short Course I-1 Monday 18 March

9:45-10:25:    Short Course I-2 Tuesday 19 March

14:15-14:55:    Short Course I-3 Tuesday 19 March

Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry WANG_Oxford2024.pdf

Abstract

 In this short course, we will discuss the Euler equations and applications in gas dynamics and geometry. First, the basic theory of Euler equations and mixed-type problems will be reviewed. Then we will present the results on the transonic flows past obstacles, transonic flows in the fluid dynamic formulation of isometric embeddings, and the transonic flows in nozzles. We will discuss global solutions and stability obtained through various techniques and approaches. The short course consists of three parts and is accessible to PhD students and young researchers.

Tue, 30 Apr 2024
16:00
L6

TBA

Brad Rodgers (Queen's University, Kingston)
Abstract

TBA

Tue, 07 May 2024

14:00 - 15:00
L5

TBC

Francois Thilmany
(UC Louvain)
Abstract

to follow

Mon, 03 Jun 2024
15:30
L3

TBC

Prof Stephan Eckstein
(University of Tübingen)
Modelling, bifurcation analysis, circuit design and FPGA-based implementation of a new chaotic jerk system exhibiting Hopf bifurcations
Vaidyanathan, S Moroz, I Sambas, A Lopez, D Pacheco, J d, J Magdaleno, E International Journal of Modelling Identification and Control volume 44 issue 2 107-120 (09 Feb 2024)
Tue, 26 Mar 2024
16:00
Quillen Room

Global Galois representations with prescribed local monodromy

Lambert A'Campo
(MPIM Bonn)
Abstract

The compatibility of local and global Langlands correspondences is a central problem in algebraic number theory. A possible approach to resolving it relies on the existence of global Galois representations with prescribed local monodromy.  I will provide a partial solution by relating the question to its topological analogue. Both the topological and arithmetic version can be solved using the same family of projective hypersurfaces, which was first studied by Dwork.

Thu, 06 Jun 2024

14:00 - 15:00
Lecture Room 3

Structure-preserving hybrid finite element methods

Ari Stern
(Washington University in St. Louis, USA)
Abstract

The classical finite element method uses piecewise-polynomial function spaces satisfying continuity and boundary conditions. Hybrid finite element methods, by contrast, drop these continuity and boundary conditions from the function spaces and instead enforce them weakly using Lagrange multipliers. The hybrid approach has several numerical and implementational advantages, which have been studied over the last few decades.

 

In this talk, we show how the hybrid perspective has yielded new insights—and new methods—in structure-preserving numerical PDEs. These include multisymplectic methods for Hamiltonian PDEs, charge-conserving methods for the Maxwell and Yang-Mills equations, and hybrid methods in finite element exterior calculus.

On the Stability of Multigraded Betti Numbers and Hilbert Functions
Oudot, S Scoccola, L SIAM Journal on Applied Algebra and Geometry volume 8 issue 1 54-88 (31 Mar 2024)
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