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 Fridays 2-3pm
Venue: 39 AA 04
Open to: Staff and students.

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

Upcoming seminars

Fri 22 November at 2pm in 39AA04

Stefan Krömer (UTIA, Czech Academy of Sciences, Prague).

Title: Injective nonlinear elasticity via penalty terms: analysis and numerics.

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).

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Tuesday 26 November at 2pm in 39AA04

Nikos Katsourakis (Department of Mathematics, University of Reading).

Title: Inverse optical tomography through PDE constrained optimisation in L-infinity

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.

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Past seminars

The Maslov index and the spectrum of differential operators
Speaker: Yuri Latushkin (Missouri)
Venue: 22 AA 04
Date: Wednesday 26 June 2019
Time: 2pm - 3pm
Abstract can be found  here.

On the passage from nonlinear to linearized viscoelasticity
Speaker:  Martin Kruzik  (Czech Academy of Sciences)
Venue: 13 BB 04
Date: Wednesday 5 June 2019
Time: 2pm - 3pm
Abstract can be found here.

Mathematical modelling and analysis of intercellular signalling processes in biological tissues
Speaker: Mariya Ptashnyk  (Heriot-Watt Edinburgh)
Venue: 39 AA 04
Date: Wednesday 12 June 2019
Time: 4pm - 5pm

Local-in-time Classical Solutions of the Semi-Geostrophic Equations in Eulerian Coordinates
Speaker:  Mark Wilkinson (Heriot-Watt Edinburgh)
Venue: 39 AA 04
Date: Wednesday  8 May 2019
Time: 4pm - 5pm

Abstract: can be found here

Existence of stationary fronts in a coupled system of two inhomogeneous sine-Gordon equations
Speaker: Jacob Brooks (Surrey)
Venue: 39 AA 04
Date: Friday 22 March 2019
Time: 4pm - 5pm
Abstract: can be found  here

Explicit Ruelle resonances of chaotic dynamical systems
Speaker:  Oscar Bandtlow (Queen Mary University, London)
Venue: 39 AA 04
Date: Wednesday  15 March  2019
Time: 4pm - 5pm
Abstract: can be found here.

Three-scale singular limits
Speaker: Steve Schochet (Tel Aviv)
Venue: 39 AA 04
Date: Wednesday 13  February 2019
Time: 4pm - 5pm
Abstract: Find out more

Stochastic Three-dimensional Navier-Stokes Equations + Waves: Averaging, Convergence, Regularity and Nonlinear Dynamics
Speaker: Alex Mahalov (Arizona State University)
Venue: 39 AA 04
Date: Wednesday 12  December 2018
Time: 4pm - 5pm
Abstract: Find out more

Attractors for measure driven non-autonomous dissipative systems
Speaker: Sergey Zelik (University of Surrey)
Venue: 39 AA 04
Date: Wednesday 5 December 2018
Time: 4pm - 5pm

Heteroclinic to homoclinic and homoclinic to homoclinic transition in reaction-diffusion systems
Speaker: Nicolas Verschueren Van Rees (University of Bristol)
Venue: 39 AA 04
Date: Thursday 28 November 2018
Time: 4pm - 5pm
Abstract: Find out more

Invasion fronts near the edge of the homoclinic snake
Speaker: David Lloyd (University of Surrey)
Venue: 39 AA 04
Date: Wednesday 21 November 2018
Time: 4pm - 5pm
Abstract: Find out more

Response solutions for forced systems with large dissipation and arbitrary frequency vectors
Speaker: Faenia Vaia (University of Rome)
Venue: 39 AA 04
Date: Wednesday 7 November 2018
Time: 4pm - 5pm
Abstract: Find out more

A study of the stochastic resonance as a periodic random dynamical system
Speaker: Anna Maria Cherubini (Universita' del Salento)
Venue: 22 AA 04
Date: Thursday 14 June 2018
Time: 3pm - 4pm
Abstract: Find out more.

Partial differential equations of mixed elliptic-hyperbolic type - From mechanics to geometry
Speaker: Gregory Faye (Toulouse)
Venue: 39 AA 04
Date: Wednesday 23 May 2018
Time: 3:15pm - 4:15pm
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) 
Venue: 39 AA 04
Date: Tuesday 1 May 2018
Time: 3.00pm - 4.00pm
Abstract: Find out more

Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system
Speaker: Gregory Faye (Toulouse)
Venue: 39 AA 04
Date: Thursday 26 April 2018
Time: 12.00pm - 1.00pm
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) 
Venue: 39 AA 04
Date: Tuesday 13 March 2018
Time: 3.00pm - 4.00pm
Abstract: Find out more

Invariant measures of stochastic conservation laws
Speaker: Peter Pang (University of Surrey)
Venue: 39 AA 04
Date: Tuesday 20 March 2018
Time: 3.00pm - 4.00pm
Abstract: Find out more.

Symmetric solutions of rescaled Fokker-Planck and Boltzmann equations
Speaker: Florian Theil (Warwick)
Venue: 22 AA 04
Date: Tuesday 6 February 2018
Time: 3pm - 4pm
Abstract: Find out more.

Transformations of Feynman path integrals and quantum anomalies
Speaker: Oleg Smolyanov (Moscow State University)
Venue: 39 AA 04
Date: Tuesday 31 October 2017
Time: 2pm - 3pm

Spectral inequalities on the sphere
Speaker: Alexej Ilyin (Keldysh, Moscow)
Venue: 39 AA 04
Date: Tuesday 24 October 2017
Time: 3pm - 4pm
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)
Venue: 39 AA 04
Date: Wednesday 2 August 2017
Time: 2pm - 3pm
Abstract: Find out more.

Equilibrium measures of self-affine fractals
Speaker: Ian Morris (University of Surrey)
Venue: 39 AA 04
Date: Tuesday 7 March 2017
Time: 2pm - 3pm
Abstract: Find out more.

Growing Planar metapatterns: From weak to strong morphologies
Speaker: David Lloyd (University of Surrey)
Venue: 39 AA 04
Date: Friday 17 February 2017
Time: 2pm - 3pm
Abstract: Find out more.

Part 2: Exponential estimates for symplectic slow manifolds
Speaker: Claudia Wulff (University of Surrey)
Venue: 39 AA 04
Date: Tuesday 14 February 2017
Time: 2pm - 3pm
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)
Venue: 39 AA 04
Date: Friday 25 November 2016
Time: 2pm - 3pm
Abstract: Find out more.

Reading group on inertial manifolds
Speaker: Sergey Zelik (Surrey)
Venue: 39 AA 04
Date: Friday 11 November 2016
Time: 2pm - 3pm
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)
Venue: 24 AA 04
Date: Wednesday 26 October 2016
Time: 2pm - 3pm
Abstract: Find out more.

Dynamics for a reaction-diffusion equation​​​​​​​
Speaker: Chunyou Sun (long-term visitor from Lanzhou University, China)
Venue: 39 AA 04
Date: Friday 21 October 2016
Time: 2pm - 3pm
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)
Venue: 39 AA 04
Date: Friday 14 October 2016
Time: 4pm - 5pm
Abstract: Continued discussion of determining functionals.

Determining functionals and finite-dimensional reduction revisited
Speaker: Sergey Zelik (Surrey)
Venue: 39 AA 04
Date: Friday 7 October 2016
Time: 2pm - 3pm
Abstract: Find out more.

Dynamics of dissipative PDEs workshop
Dedicated to mathematician Igor Dmitrievich
Venue: 72 MS 03, Rik Medlik building
Date: Monday 10 - Friday 14 September 2018
Time: 9am - 5pm
Abstract: Find out more.

Tues 5 November at 2pm in 39AA04

Zisis Sakellaris (Department of Mathematics, University of Surrey).

Title: Curvature-stabilized skyrmions with angular momentum.

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 in https://link.springer.com/article/10.1007/s11005-019-01188-6 .

Contact us

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Address
Department of Mathematics
AA Building, floor 4
University of Surrey
Guildford
Surrey
GU2 7XH