PhD Studentship in Constrained Differential Equations and Applications in Elastoplasticity
This Graduate Research Assistantship (RA) is to support a PhD student working on the NSF funded project “Collaborative Research: A Sweeping Process Framework to Control the Dynamics of Elastoplastic Systems”. The project studies differential equations with moving polyhedral constraints (commonly known as sweeping processes) with the aim of modelling the lattices of elastoplastic springs under cyclic loading. The successful candidate will develop theoretical and numerical results to identify the mechanical parameters of lattice spring models that ensure a unique periodic response (finite-time stable or asymptotic) or co-existing periodic responses (isolated or not) to a cyclic loading given. The dynamical behavior found will be used to efficiently compute the asymptotic distribution of plastic deformations. More details about this project are available at http://www.utdallas.edu/~makarenkov/nsf-sweeping-project.pdf.
Candidates must be accepted into the PhD program in Mathematical Sciences at UTD and demonstrate strong analytical skills. Expertise in dynamical Systems theory, analysis, and numerical skills is an advantage.
Conditions of employment
The appointment as an RA in the Mathematical Sciences Department of the University of Texas at Dallas covers the full costs for UTD tuition and includes a monthly stipend of $2,000.00. The duration of the RA appointment is 1 or 2 years. It is expected that the student will hold a Teaching Assistant (TA) appointment for the rest of the math graduate program. The anticipated start date is September 2020.
Send your Curriculum Vitae and academic transcripts to Oleg Makarenkov at firstname.lastname@example.org. This same email address can be also used for informal inquiries.