Victoria Patel

MMath

Status

Postgraduate Student

Research groups

Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Prizes, awards, and scholarships

Garside Scholarship 2020 (Corpus Christi, Oxford)
Prize for academic excellence 2018 (University of Warwick)

Teaching

Stipendiary Lecturer (Corpus Christi MT21, HT22, TT22)
Stipendiary Lecturer (Queen's College MT19, HT20, HT21)
- Intro to Calculus, Multivariable Calculus, Fourier Analysis and PDEs, Intro to Manifolds
TA MT19
- B4.1 Functional Analysis I
TA HT20
- C4.6 Fixed Point Methods for Nonlinear
Tutor MT20
- C4.3 Functional Analytic Methods for PDEs
- B4.1 Functional Analysis I
- B4.3 Distribution Theory and Analysis of PDEs

Research interests

My current research is based on implicitly constituted solids. In particular, I study existence and uniqueness results for a certain class of PDEs resulting from the modelling of such solids under a small strain assumption. Furthermore, I am interested in the related field of implicitly constituted fluids; this is especially in the context of very weak solutions and weak-strong uniqueness results.

Major / recent publications

Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Miroslav Bulíček, Victoria Patel, Yasemin Sengül and Endre Süli. Submitted.

Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. Miroslav Bulíček, Victoria Patel, Yasemin Sengül and Endre Süli. Submitted.

Nonlinear dynamic fracture problems with polynomial and strain-limiting constitutive relations. Victoria Patel. Submitted.

Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids. Pablo Alexei Gazca-Orozco and Victoria Patel. Submitted.