This paper develops a new viscous fluid registration algorithm that makes use of a closed incompressible viscous fluid model associated with mutual information. In our approach, we treat the image pixels as the fluid elements of a viscous fluid governed by the nonlinear Navier-Stokes partial differential equation (PDE) that varies in both temporal and spatial domains. We replace the pressure te...

Aquasi-incompressible hydrodynamic phase fieldmodel for flows of fluidmixtures of two incompressible viscous fluids of distinct densities and viscosities is derived by using the generalized Onsager principle, which warrants the variational structure, the mass conservation and energy dissipation law. We recast the model in an equivalent form and discretize the equivalent system in space firstly ...

We consider a heat conducting compressible viscous fluid at rest in a rigid container and show that the thermal and the kinetic energy of arbitrary disturbances of the rest state eventually decays. REsuME. On considere un fluide compressible, visqueux et conducteur de la chaleur au repos dans un reservoir rigide. On montre que l'energie thermique et cinetique de perturbations arbitraires est am...

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is independent of ε, the energy equality is not sufficient to obtain a uniform estimate for the solid velocity. This will be achieved thanks to the optimal Lp − Lq decay estimates of the semigroup associated to the fluid-rigid...

The three-dimensional interfacial waves due to a fundamental singularity steadily moving in a system of two semi-infinite immiscible fluids of different densities are investigated analytically. The two fluids are assumed to be incompressible and homogenous. There are three systems to be considered: one with two inviscid fluids, one with an upper viscous and a lower inviscid fluid, and one with ...