Quasi-incompressible multi-species ionic fluid models

Mathematical models of turbulent motion of an incompressible viscous fluid

Incompressible Quantum Hall Fluid

After review the quantum Hall effect on the fuzzy two-sphere S2 and Zhang and Hu’s 4-sphere S4, the incompressible quantum Hall fluid on S2, S4 and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on S2 are also given out. The ADHM construction on S4 is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable ...

Incompressible Non-Newtonian Fluid Flows

A non-Newtonian fluid is a fluid whose flow properties differ in many ways from those of Newtonian fluids. Most commonly the viscosity of non-Newtonian fluids is not independent of shear rate or shear rate history. In practice, many fluid materials exhibits non-Newtonian fluid behavior such as: salt solutions, molten, ketchup, custard, toothpaste, starch suspensions, paint, blood, and shampoo e...

On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid

Thermodynamically driven incompressible fluid mixtures

We compare two models describing the dynamics of phase separation of incompressible mixtures: A local model proposed by de Gennes, and a nonlocal model proposed by E and Palffy-Muhoray. We find that in the interfacial regime, the local model gives rise to interfacial motion via the Mullins-Sekerka law for moderate quenches, and surface diffusion for deep quenches. The interface dynamics is slow...