8 citations
4 papers
Actively deforming porous media in an incompressible fluid: a variational approach
Tagir Farkhutdinov, François Gay-Balmaz, Vakhtang Putkaradze
Many parts of biological organisms are comprised of deformable porous media. The biological media is both pliable enough to deform in response to an outside force and can deform by…
Geometric variational approach to the dynamics of porous media filled with incompressible fluid
Tagir Farkhutdinov, François Gay-Balmaz, Vakhtang Putkaradze
We derive the equations of motion for the dynamics of a porous media filled with an incompressible fluid. We use a variational approach with a Lagrangian written as the sum of term…
Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability
Rossen Ivanov, Vakhtang Putkaradze
Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, the…
Integrability and Chaos in Figure Skating
Vaughn Gzenda, Vakhtang Putkaradze
We derive and analyze a three dimensional model of a figure skater. We model the skater as a three-dimensional body moving in space subject to a non-holonomic constraint enforcing…