Topics

The study of inhomogeneous , degenerate, singular partial differential equations in this point of view, the reference point is represented by the first discovery of electrorheologice fluids, also called intelligent fluid (smart fluids), such fluids (eg, lithium polymetachrylate) possess interesting property that their viscosity depends on the electric field of the fluid.
Modeling of processes in biology and medicine, their theoretical study of mathematical consistency, creating algorithms and obtain numerical results for comparison with experimental evidence.
The study of methods for approximating solutions of particular equations, with applications in evaluating interactability classes of elliptic curves, including also study methods of generating particular points on the curve resulting from the multiplication of two curves, its the basis for defining new hard reversible functions which have applications in information theory.
Functional and numerical techniques for solving degenerate nonlinear systems that shape population dynamics problems.
Variational methods have continue applicability in equation study with partial differential equations of elliptic type the shape real life phenomena such as Hamiltonians systems, phase transition, fluid dynamics.
Nonlinear differential systems modeling stationary processes competitive or cooperative, from physics, biology and chemistry are investigated in terms of existence, location and multiplicity of solutions, using methods of nonlinear analysis of the most advanced.