We are interested in analysis and numerical methods for partial differential equations describing:

• dynamics of the interface between two separated phases (e.g. air/liquid or liquid/liquid interface in thin viscous films, spin separation interface in spin systems, etc.);
• dynamics of densities or volume fractions of system phases (e.g. immiscible fluid flows in porous medium, multispecies models in biology, chemistry, etc.).

Some application scenarios:

1. interface fluctuations in spin systems;
2. dynamics of thin viscous fluids with thermal effects;
3. oil recovery in hydrocarbon reservoirs;
4. multispecies biofilm colonies for wastewater treatment;
5. reduced models in fluid-structure interaction systems.