Imperial College London

DrAndreaGiorgini

Faculty of Natural SciencesDepartment of Mathematics

Chapman Fellow in Mathematics
 
 
 
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Contact

 

a.giorgini Website CV

 
 
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Location

 

614Huxley BuildingSouth Kensington Campus

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Summary

 

Summary

My research activity is focused on the study of nonlinear Partial Differential Equations arising from Fluid Mechanics, Biology and Materials Science. I am currently interested in modeling and theoretical analysis of Diffuse Interface (Phase Field) problems describing the evolution of two-phase fluid mixtures with complicated internal microstructures and driven by the surface tension.

My main research directions are:

  • Navier-Stokes-Cahn-Hilliard systems
  • Hele-Shaw and porous media flows with applications to tumor growth dynamics
  • Nonlocal models for long-range particle interactions
  • Multiphysics of complex fluids

Publications

Journals

Cao Y, Giorgini A, Jolly M, et al., 2022, Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations, Nonlinear Analysis-real World Applications, Vol:68, ISSN:1468-1218

Giorgini A, Grasselli M, Wu H, 2022, On the mass-conserving Allen-Cahn approximation for incompressible binary fluids, Journal of Functional Analysis, Vol:283, ISSN:0022-1236

Giorgini A, Temam R, 2022, ATTRACTORS FOR THE NAVIER-STOKES-CAHN-HILLIARD SYSTEM, Discrete and Continuous Dynamical Systems-series S, Vol:15, ISSN:1937-1632, Pages:2249-2274

Giorgini A, Lam KF, Rocca E, et al., 2022, On the existence of strong solutions to the Cahn--Hilliard--Darcy system with mass source, Siam Journal on Mathematical Analysis, Vol:54, ISSN:0036-1410, Pages:737-767

Giorgini A, 2021, Well-posedness of the two-dimensional Abels–Garcke–Grün model for two-phase flows with unmatched densities, Calculus of Variations and Partial Differential Equations, Vol:60, ISSN:0944-2669

More Publications