Applied Mathematical Physics

The group is dedicated to the following research activities:

1) Construction of mathematical models based on partial and ordinary differential equations linked to the description of phenomena arising in different applied fields, in particular ecology and engineering;

2) Extension of nonlocal elasticity theories based on stress-driven spatial convolutions;

3) Investigation of wave propagation both via the construction of travelling waves solutions using methods from Geometric Singular Perturbation Theory and via the determination of dispersion relations in nonlocal models;

4) Analysis of patterned distributions due to Turing instabilities and cross-diffusion;

5) Study of steady-states and bifurcations based on numerical continuation software (e.g. AUTO, pde2path);

6) Simulation of systems' dynamics via numerical tools (Matlab/Mathematica).