Research journey to Lyon

Thanks to his LMS Scheme 3 grant worth £1200, Baptiste enjoyed a two weeks stay in Lyon from November 10 to 25. Baptiste worked with his collaborator Francesco Fanelli on a new project that aims to explore the question of the inviscid limit for some hydrodynamical equations – as the Euler equation with variable density – in the wake of the important work of Jacob Bedrossian and Nader Masmoudi on Euler equations. This project lies mathematically at the intersection of Baptiste’s line of research on Gevrey regularity and Francesco’s knowledge on hydrodynamical systems.

Baptiste was also invited to the Analysis Seminar of Besançon and gave a talk on weakly hyperbolic systems. The audience was very interested by this subject and raised many interesting questions. It may be the sign that Baptiste will go back to Besançon in the near future!

Talks & Travels

In his second month here at Cardiff Frank Rösler has been invited to the University of Cambridge and Imperial College London to give seminar talks. These visits provided the opportunity to discuss his research with a wider audience and make progress on open questions from his recent research project on spectral approximation.

On 14th December he will attend the next meeting of the South Wales Analysis & Probability Seminar in Swansea.

New team member: Frank Rösler

On 1 October 2018 we were joined by a new team member, Dr Frank Rösler. Frank completed his PhD at Durham University and worked as a Research Assistant in Freiburg (Germany).

He is interested in the spectral theory of non-selfadjoint operators and other operator-theoretic questions in PDE theory. His past projects involved pseudospectra of non-normal Schrödinger Operators and more general resolvent norm estimates of partial differential operators. More recently, he studied problems in Asymptotic Analysis and Homogenisation from an operator-theoretic perspective.

Welcome Frank!

Talks & travels

The past eight months have been quite busy for Baptiste Morisse, giving talks in several Analysis Seminar in Lyon, Imperial College, Queen’s Mary… Baptiste also participated in the second session of the UK Network on Hyperbolic Equations, hosted at Loughborough University. These talks were the occasion to meet many interesting people and to build new relations between our group and other researchers in related fields.

To end this series of talks and journeys, Baptiste is now in a two weeks journey in the USA. First to join the conference at Brown for the 80th birthday of Walter Strauss. Then to travel to Golden, Colorado to work with Steve Pankavich, one of the main collaborators of our team. Hope this week will be fruitful!

Postdoc position advertised

We are in the process of hiring another postdoc to join our team (see current members). We are looking for someone with research interests in analysis, and, more precisely, someone who is interested in how to approximate infinite dimensional objects in finite dimensions. A typical example is approximating operators in Hilbert space. If you think this sounds interesting please apply. Of course, you will also be free to continue your own research.

The advert is here.

This will involve joint work with our colleagues Marco Marletta (Cardiff) and Anders Hansen (Cambridge).

Marie Skłodowska-Curie Fellowship Success

Jonathan Ben-Artzi and Junyong Zhang have been awarded a Marie Skłodowska-Curie Fellowship which will commence on 1 July 2018 for a period of two years. Their project, entitled “Geometric Analysis of Dilute Plasmas” (GRANDPA), will focus on studying regularity theory and long-time behavior of plasmas governed by the Vlasov-Maxwell system. The abstract reads:

“The ultimate goal of this Fellowship is to understand the long time behaviour of plasmas governed by the relativistic Vlasov- Maxwell system (RVM). The main difficulty is the hyperbolic nature of Maxwell’s equations (the electromagnetic fields propagate at the speed of light): particles that travel close to the speed of light nearly interact with their own fields. It is not currently known whether particles can be accelerated to such speeds, and, if so, whether this necessarily leads to development of singularities. This is a major open problem.”

 

The combined expertise of Jonathan and Junyong in kinetic theory and in dispersive equations played a central role in the success of this application. The total value of the award is €195,455.