Dr Valeria Giunta

Dr Valeria Giunta

Lecturer in Numerical Analysis of PDEs, Mathematics
Office - 304
Third Floor
Computational Foundry
Bay Campus
Available For Postgraduate Supervision


I am a lecturer in the Department of Mathematics at Swansea University. My research is inspired by biological and ecological topics, which I investigate by developing and analysing mathematical models. More specifically, in my research, I describe the behaviour of interacting species through systems of reaction-diffusion equations that incorporate either cross-diffusion, chemotaxis, or non-local advective terms. I combine a great variety of analytical and numerical tools to uncover the mechanisms behind aggregation phenomena observed in nature. I have mainly worked on reaction-diffusion chemotaxis models of inflammatory and autoimmune diseases, such as multiple sclerosis, and on non-local advection-diffusion models describing the spatio-temporal distribution of interacting species in ecosystems.

Areas Of Expertise

  • Mathematical modelling
  • Mathematical biology
  • Nonlinear PDEs
  • Reaction-diffusion-chemotaxis systems
  • Nonlocal advection systems
  • Pattern formation
  • Bifurcation analysis
  • Well-posedness