Differential equations. Mathematical models

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;

Group transformations:symmetries and equivalence transformations.
Conservation laws.
Nonclassical method. Potential symmetries.
Mathematical modelling of chemotherapy resistance in tumor development.
Exact solutions,Quañitative analysis.
Nonlinear waves and solitons.
Nonlocal symmetries and nonlocal related systems.
Diffusion systems: bacterial growth, tumor evolution. Other models from physics, medicine, engineering and economy.