LMS Annual General Meeting & Naylor Lecture 2018

Friday, November 9, 2018 - 3:00pm to 6:00pm

LMS Annual General Meeting & Naylor Lecture 2018

The lectures are aimed at a general mathematical audience. All interested, whether LMS members or not, are most welcome to attend this event.

The meeting will be followed by a reception at De Morgan House (57-58 Russell Square) and the LMS Annual Dinner.

Registration: Registration is not required for the Annual General Meeting but it is useful for us to know numbers for catering so if you plan to attend, please do email Elizabeth Fisher.

LMS Annual Dinner: The Annual Dinner held at the Montague on the Gardens Hotel at 7.30 pm.  Tickets for the Society Dinner are £58.00 per person (payable in advance by cheque to "London Mathematical Society".  Please send cheques to LMS Society Dinner, c/o John Johnston, LMS, De Morgan House, 57-58 Russell Square, London, WC1B 4HS). To sign up for the Annual Dinner, please email John Johnston by 26 October 2018. If you have any special requirements (e.g. dietary, access), please let John know when registering. 

BMA House
Tavistock Square,
Bloomsbury,
London
WC1H 9JP
United Kingdom
Agenda: 

Programme

3.00 pm Opening of the meeting and LMS Business (open to all), 

3.30 pm  Manuel de Pino (Bath) Singularity formation and bubbling in nonlinear diffusions 

Abstract: A fundamental question in nonlinear evolution equations is the analysis of solutions which develop singularities (blow-up) in finite time or as time goes to infinity. We review recent results on the construction of solutions to certain notable nonlinear parabolic PDE which exhibit this kind of behavior in the form of ”bubbling”. This means solutions that at main order look like asymptotically singular time-dependent scalings of a fixed finite energy entire steady state. We carry out this analysis for the classical two-dimensional harmonic map flow into the sphere, and the energy-critical semilinear heat equation.  

4.00 pm Tea & Coffee

4.55 pm Election Results Announced.

5.00 pm  Naylor Lecture 2018: John R. King (Nottingham) Blow-up phenomena in reaction diffusion

Abstract: The effects that arise from the competition between nonlinear source terms and (dissipative) diffusion processes are of broad applicability and are illustrative of phenomena relevant to a wide range of nonlinear evolution equations. A detailed analysis of a class of quasilinear scalar reaction-diffusion equations will be presented that allows the characterisation of a number of sometimes subtle outcomes, some of the broader implications of which will be noted alongside open questions. The work relies on a combination of asymptotic and symmetry based approaches  and attention will be given to how these complement techniques of rigorous analysis that have been extensively brought to bear on the area.

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