Analysis of nonlinear dynamics for abrupt change of interphase structure in liquid-liquid mass transfer.
Analysis of statistical equilibrium models of geostrophic turbulence.
Analysis of Thacker's method for solving the linearized shallow water equations
Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension
The two-phase free boundary value problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. We extract the boundary symbol which is crucial for the dynamics of the free boundary and present an analysis of this symbol. Of particular interest are its singularities and zeros which lead to refined mapping properties of the corresponding operator.
Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling as
Over a large range of the pressure, one cannot ignore the fact that the viscosity grows significantly (even exponentially) with increasing pressure. This paper concerns long-time and large-data existence results for a generalization of the Navier-Stokes fluid whose viscosity depends on the shear rate and the pressure. The novelty of this result stems from the fact that we allow the viscosity to be an unbounded function of pressure as it becomes infinite. In order to include a large class of viscosities...
Analysis of the hydrostatic approximation in oceanography with compression term
Analysis of the hydrostatic approximation in oceanography with compression term
Analysis of the hydrostatic approximation in oceanography with compression term
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for...
Analysis of the hydrostatic approximation in oceanography with compression term
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for...
Analysis of the Kleiser-Schumann Method.
Analysis of the mushy region in conduction-convection problems with change of phase.
Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates.
Analytic solution of a free and forced convection with suction and injection over a non-isothermal wedge.
Analytic solution of an initial-value problem from Stokes flow with free boundary.
Analytical and numerical solutions to initial-boundary value problems of the water wave motion in a reservoir.
Analytical nodal methods for diffusion equations.
Analyticity of solutions and Kolmogorov's dissipation scale for 2D Navier-Stokes equations
Analyticity of the interface in a free boundary problem.
Anisotropic mesh adaption: application to computational fluid dynamics
In this communication we focus on goal-oriented anisotropic adaption techniques. Starting point has been the derivation of suitable anisotropic interpolation error estimates for piecewise linear finite elements, on triangular grids in . Then we have merged these interpolation estimates with the dual-based a posteriori error analysis proposed by R. Rannacher and R. Becker. As examples of this general anisotropic a posteriori analysis, elliptic, advection-diffusion-reaction and the Stokes problems...
Anomalous resistance of the fractal current-carrying corona of Z-pinch.