The group carries out research in a diverse range of areas in Applied Mathematics including asymptotic analysis of partial differential equations, wave propagation and scattering in inhomogeneous media, cloaking, metamaterials, homogenisation, dynamic fracture, phononics, and platonics.

 

 

Our research is highly interdisciplinary and often finds application in a wide variety of fields from healthcare, to the oil industry, civil engineering, and geophysics. We have strong collaborative links with both industry, other institutions, and NHS Trusts.

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 The group consistently attracts significant funding from the EPSRC and ERC and contributes to the EPSRC Liverpool Centre for Mathematics in Healthcare.

 Our main research areas are as follows:

• Modelling of pulsating flow in multi-stented blood vessels and EVAS
  L Argani, A Movchan
• Waves in piezoelectric materials and magnetoelasticity of superconducting and ferromagnetic media
  A Movchan, N Movchan, G Piliposyan, D Tallarico
• Mathematical modelling of environmental transport processes
  G Piliposyan
• Wave scattering and diffraction
  I Thompson
• Fracture Mechanics
  G Carta, A Movchan, N Movchan, I Jones
• Wave propagation in multi-scale media and metamaterials
  G Carta, D Colquitt, A Movchan, N Movchan, I Jones
• Active and passive cloaking
  D Colquitt, S Haslinger, A Movchan, N Movchan, J O’Neill, O Selsil
• Platonics
  S Haslinger, A Movchan, N Movchan, J O’Neill, O Selsil
• Dynamic Homogenisation
  D Colquitt
• Seismic metamaterials, design, and protection
  G Carta, D Colquitt, A Movchan, I Jones
• Asymptotic analysis of singularly perturbed domains
  A Movchan, N Movchan