# Current Research Areas

**Multiphase flow instability**- Mathematical modeling for
**particle-wave interactions**in turbulent flows and in dispersed nano-to-micron sized particle-laden flows. **Advanced propulsion applications**, solar sails, electromagnetic propulsion, Casimir forces, and vacuum fluctuations.**Hydrodynamic – Quantum Analogs**, new theories for the dynamics of particles at the microscopic scales informed by hydrodynamic stability theories.**Turbulent reacting flows**, Computational fluid dynamics, and large eddy simulations of turbulent combustion.

**Multiphase flow instability and dynamics in complex flows: **

We aim to synthesize theory, computations, and experiments to develop new generalized hydrodynamic stability models for multiphase flows in which chemical reactions, turbulence, and particle interactions may be involved. Situations in which the evolution of a flow and a particulate matter are strongly coupled play an important role in engineering, environmental, biological, and medical applications.

**A hydrodynamically-inspired quantum field theory and hydrodynamic quantum a****nalogs: **A hydrodinamically inspired quantum-field-theory (HQFT) was recently suggested by Dagan and Bush (Comptes Rendus Mechanique, 2020). Originally proposed by de Broglie in 1924, the particle motion is piloted by a real wave. In our model, as in the hydrodynamic quantum analog, the particle is gradient-driven. Self-excited motion and quantum statistical signatures emerge from the non-linear coupled dynamical system.