Dynamical Systems and Partial Differential Equations seminars

These are the research seminars of the Dynamical systems and Partial Differential Equations group.

Seminar details

Day and time: Tuesdays from 2pm - 3pm or Friday's from 2pm - 3pm
Venue: 39 AA 04
Open to: Staff and students.

For further information, please contact the organisers Jon Bevan and Sergey Zelik.

Upcoming seminars

There are currently no upcoming seminars, please check back at a later date.

Past seminars

Inverse optical tomography through PDE constrained optimisation in L-infinity
Speaker: Nikos Katsourakis (Department of Mathematics, University of Reading)
Date: Tuesday 26 November 2019

Abstract: Fluorescent Optical Tomography (FOT) is a new bio-medical imaging method with wider industrial applications. It is currently intensely researched since it is very precise and with no side effects for humans, as it uses non-ionising red and infrared light. Mathematically, FOT can be modelled as an inverse parameter identification problem, associated with a coupled elliptic system with Robin boundary conditions. Herein we utilise novel methods of Calculus of Variations in L to lay the mathematical foundations of FOT which we pose as a PDE-constrained minimisation problem in Lp and L.

Injective nonlinear elasticity via penalty terms: analysis and numerics
Speaker: Stefan Krömer (UTIA, Czech Academy of Sciences, Prague)
Date: Friday 22 November 2019

Abstract: I will present some new ideas for nonlinear elasticity with a global injectivity constraint preventing self-interpenetration of the elastic body. Our main focus are penalization terms replacing this injectivity constraint, the Ciarlet-Ne\v{c}as condition. Among other things, the penalization can be chosen in such a way that self-interpenetration is prevented even at finite value of the penalization parameter, and not just in the limit. Our penalty method provides a working numerical scheme with provable convergence along a subsequence, for models of non-simple materials (i.e. including a term with higher order derivatives).

Curvature-stabilized skyrmions with angular momentum
Speaker: Zisis Sakellaris (Department of Mathematics, University of Surrey).
Date: Tuesday 5 November 2019

Abstract: I will present recent results on the Landau-Lifshitz equation in a geometric context. In particular, we will be concerned with the existence of skyrmionic field configurations on a spherical ferromagnet, under large anisotropy assumptions, modelled on the 2-sphere S2. These fields correspond to a family of solutions of the Landau–Lifshitz equation, that are topologically distinct from the ground state and not equivariant. Our analysis involves the solution of constrained variational problems in a geometric context, giving rigorous footing to recent results in the Physics literature.

This is based on joint work with Christof Melcher from RWTH Aachen, recently published.

The Maslov index and the spectrum of differential operators
Speaker: Yuri Latushkin (Missouri)
Date: Wednesday 26 June 2019
Read the abstract.

On the passage from nonlinear to linearized viscoelasticity
Speaker: Martin Kruzik  (Czech Academy of Sciences)
Date: Wednesday 5 June 2019
Read the abstract.

Mathematical modelling and analysis of intercellular signalling processes in biological tissues
Speaker: Mariya Ptashnyk(Heriot-Watt Edinburgh)
Date: Wednesday 12 June 2019

Local-in-time Classical Solutions of the Semi-Geostrophic Equations in Eulerian Coordinates
Speaker: Mark Wilkinson (Heriot-Watt Edinburgh)
Date: Wednesday 8 May 2019
Read the abstract.

Existence of stationary fronts in a coupled system of two inhomogeneous sine-Gordon equations
Speaker: Jacob Brooks (Surrey)
Date: Friday 22 March 2019
Read the abstract.

Explicit Ruelle resonances of chaotic dynamical systems
Speaker:  Oscar Bandtlow (Queen Mary University, London)
Date: Wednesday 15 March  2019
Read the abstract.

Three-scale singular limits
Speaker: Steve Schochet (Tel Aviv)
Date: Wednesday 13 February 2019
Read the abstract.

Stochastic Three-dimensional Navier-Stokes Equations + Waves: Averaging, Convergence, Regularity and Nonlinear Dynamics
Speaker: Alex Mahalov (Arizona State University)
Date: Wednesday 12 December 2018
Read the abstract.

Attractors for measure driven non-autonomous dissipative systems
Speaker: Sergey Zelik (University of Surrey)
Date: Wednesday 5 December 2018

Heteroclinic to homoclinic and homoclinic to homoclinic transition in reaction-diffusion systems
Speaker: Nicolas Verschueren Van Rees (University of Bristol)
Date: Thursday 28 November 2018
Read the abstract.

Invasion fronts near the edge of the homoclinic snake
Speaker: David Lloyd (University of Surrey)
Date: Wednesday 21 November 2018
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Response solutions for forced systems with large dissipation and arbitrary frequency vectors
Speaker: Faenia Vaia (University of Rome)
Date: Wednesday 7 November 2018
Read the abstract.

A study of the stochastic resonance as a periodic random dynamical system
Speaker: Anna Maria Cherubini (Universita' del Salento)
Date: Thursday 14 June 2018
Abstract: Find out more.

Partial differential equations of mixed elliptic-hyperbolic type - From mechanics to geometry
Speaker: Gregory Faye (Toulouse)
Date: Wednesday 23 May 2018
Abstract: Find out more.

An estimate for the Morse index of a Stokes wave and the Khuri-Martin-Wu conjecture
Speaker: Eugene Shargorodsky (Kings College London) 
Date: Tuesday 1 May 2018
Abstract: Find out more

Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system
Speaker: Gregory Faye (Toulouse)
Date: Thursday 26 April 2018
Abstract: Find out more

On the (deterministic and stochastic) Navier-Stokes equations with constrained $L^2$ energy of the solution
Speaker: Zdzislaw Brzezniak (University of York) 
Date: Tuesday 13 March 2018
Abstract: Find out more

Invariant measures of stochastic conservation laws
Speaker: Peter Pang (University of Surrey)
Date: Tuesday 20 March 2018
Abstract: Find out more.

Symmetric solutions of rescaled Fokker-Planck and Boltzmann equations
Speaker: Florian Theil (Warwick)
Date: Tuesday 6 February 2018
Abstract: Find out more.

Transformations of Feynman path integrals and quantum anomalies
Speaker: Oleg Smolyanov (Moscow State University)
Date: Tuesday 31 October 2017

Spectral inequalities on the sphere
Speaker: Alexej Ilyin (Keldysh, Moscow)
Date: Tuesday 24 October 2017
Abstract: Find out more.

Quasi-neutral and zero-viscosity limits of Navier-Stokes-Poisson equations in the half-space
Speaker: Qiangchang Ju (Beijing Institute for Applied Physics and Computational Mathematics)
Date: Wednesday 2 August 2017
Abstract: Find out more.

Equilibrium measures of self-affine fractals
Speaker: Ian Morris (University of Surrey)
Date: Tuesday 7 March 2017
Abstract: Find out more.

Growing Planar metapatterns: From weak to strong morphologies
Speaker: David Lloyd (University of Surrey)
Date: Friday 17 February 2017
Abstract: Find out more.

Part 2: Exponential estimates for symplectic slow manifolds
Speaker: Claudia Wulff (University of Surrey)
Date: Tuesday 14 February 2017
Abstract: Find out more.

On long time approximation of ergodic stochastic differential equations; Examples from homogenization and molecular dynamics (joint DSPDE-FMS seminar)
Speaker: Kostas Zygalakis (Edinburgh)
Date: Friday 25 November 2016
Abstract: Find out more.

Reading group on inertial manifolds
Speaker: Sergey Zelik (Surrey)
Date: Friday 11 November 2016
Abstract: Sergey continues his lectures on inertial manifolds.

Self-propelled particle systems and the steady states in continuum limit (joint FMS/DSPDE seminar)
Speaker: Yanghong Huang (Manchester)
Date: Wednesday 26 October 2016
Abstract: Find out more.

Dynamics for a reaction-diffusion equation
Speaker: Chunyou Sun (long-term visitor from Lanzhou University, China)
Date: Friday 21 October 2016
Abstract: In this talk, by taking a reaction-diffusion equation as the model example, I will present part of our motivation and the main results achieved recently about attractors; including the continuity w.r.t. initial data in regular space, higher-order attraction and asymptotic regularity.

"Analysis of PDEs" reading group
Speaker: Sergey Zelik (Surrey)
Date: Friday 14 October 2016
Abstract: Continued discussion of determining functionals.

Determining functionals and finite-dimensional reduction revisited
Speaker: Sergey Zelik (Surrey)
Date: Friday 7 October 2016
Abstract: Find out more.

Dynamics of dissipative PDEs workshop
Dedicated to mathematician Igor Dmitrievich
Date: Monday 10 - Friday 14 September 2018
Abstract: Find out more.

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Address
Department of Mathematics
Thomas Telford building (AA), floor 4
University of Surrey
Guildford
Surrey
GU2 7XH