|Funding for:||UK Students, EU Students|
|Funding amount:||Covers fees and living expenses|
|Placed On:||13th June 2019|
|Closes:||31st August 2019|
A three and a half year studentship for a UK or EU student which covers fees and living expenses.
This studentship centres on the analysis and numerical simulation of mathematical models for cracking and fracturing of electrodes in Lithium-ion batteries.
We will address two models.
Model 1 will take the form of a (deterministic) coupled system of partial differential equations.
Model 2 will include the addition of stochastic effects modelling battery user behaviour in a statistical sense.
You will receive:
Model 1 will comprise (i) a degenerate fourth-order Cahn–Hilliard type variational inequality, (ii) the linear elasticity equations, and (iii) a degenerate Ginzburg–Landau variational inequality.
Model 2 will include the addition of stochastic effects modelling the battery user behaviour in a statistical sense. The effects will enter the partial differential equations (which then become stochastic partial differential equations) in the form of noise in the boundary, initial or forcing-term data. We will discretise both models using adaptive finite element approximations and the resulting approximations will be analysed and then solved using the adaptive finite element tool box ALBERTA and we will also explore other FEM libraries such as Fenics-Dolfin, Firedrake and Deal.II.
For more information, see:
2) D. Braess (2007). Finite Elements, Cambridge University Press.
You must be
How to apply
Apply through the Sussex on-line postgraduate application system:
In the Other Information/Funding Section state that you are applying for this studentship.
Send an email to Dr Lakkis and Prof Styles to confirm you have applied.
Informal enquiries are welcome and should be directed to
Dr Omar Lakkis ( http://www.sussex.ac.uk/profiles/173323 ) and
Prof Vanessa Styles ( http://www.sussex.ac.uk/profiles/16495 ).
Students are encouraged to apply, or at least send an expression of interest, as early as possible. The studentship will be filled as soon as a suitable candidate can be found.
Possible start dates are 23 September 2019, 27 January 2020, or 11 May 2020.
Type / Role: