Status:
+44 1865 615104
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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.
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
Prizes, awards, and scholarships:
- Garside Scholarship 2020 (Corpus Christi, Oxford)
- Prize for academic excellence 2018 (University of Warwick)
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.