The membrane of biological cells consists of tightly packed lipid molecules with hydrophilic heads facing the exterior and interior fluids and hydrophobic tails hiding in the middle, forming a bilayer structure. Most cell membranes (and other biological membranes) can deform but resist area dilation and are often modelled as incompressible fluid interfaces [12]. The aqueous solution outside the...

1 Abstract We present results of self-consistent experiments of basin formation by extension and basin inversion through subsequent contraction. Our viscous-plastic finite element models include feedback interactions between crustal deformation, the development of local shear zones, and sedimentation and erosion. The extensional basins show a high degree of sensitivity to crustal strain softeni...

Abstract. We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by the nonlinear Koiter shell model, consisting of both bending and membrane tractions. The fluid is coupled to the solid shell through continuity of di...

We report a material-dependent critical temperature for ion beam sculpting of nanopores in amorphous materials under keV ion irradiation. At temperatures below the critical temperature, irradiated pores open at a rate that soon saturates with decreasing temperature. At temperatures above the critical temperature, the pore closing rate rises rapidly and eventually saturates with increasing tempe...

We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by the Navier–Stokes equations, while the shell is modeled by the nonlinear Koiter shell model, consisting of bending and membrane tractions as well as inertia. The fluid is coupled to the solid shell through continuity o...

Abstract. We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by the nonlinear St. Venant-Kirchhoff constitutive law, and they are coupled together by continuity of displacement and traction (stress) along the moving mat...

This paper investigates steady-state solutions to MHD thermally radiating and reacting thermosolutal viscous flow through a channel with porous medium. The reaction is assumed to be strongly exothermic under generalized Arrhenius kinetics, neglecting the consumption of the material. Approximate solutions are constructed for the governing nonlinear boundary value problem using WKBJ approximation...

in the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. linear and nonlinear stability analysis have been performed. for linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated fourier serie...

Examples of fluid motion driven by immersed flexible structures abound in nature. In many biological settings, for instance a beating heart, an active material generates a timedependent internal forcing on the surrounding fluid. Motivated by such active biological structures, this thesis investigates parametric resonance in fluid-structure systems induced by an internal forcing via periodic mod...