In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above a two-fluid interface. At sufficiently low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn. When Q is increased (or S decreased), the interface undergoes a transition so that the lower fluid is entrained with the upper one, forming...

Abstract This paper studies the asymptotic behavior of coexistence steady-states Shigesada-Kawasaki-Teramoto model as both cross-diffusion coefficients tend to infinity at same rate. In case when either one two tends infinity, Lou and Ni [18] derived a couple limiting systems, which characterize steady-states. Recently, formal observation by Kan-on [10] implied existence system including nonsta...

Analytical solutions have been obtained for both conservative and non-conservative forms of one-dimensional transport and transport-dispersion equations applicable for pollution as a result of a non-conservative pollutant-disposal in an open channel with linear spatially varying transport velocity and nonlinear spatially varying dispersion coefficient on account of a steady unpolluted lateral i...

We demonstrate that the quasi-equilibrium state in a self-gravitating N-body system after cold collapse is uniquely characterized by the local virial relation using numerical simulations. Conversely, assuming the constant local virial ratio and Jeans equation for a spherically steady-state system, we investigate the full solution space of the problem under the constant anisotropy parameter and ...

We study experimentally the shape of a granular heap formed pouring a granular material into a vertical Hele-Shaw cell and analyze the effect of the grain impact energy. We propose a continuous model for the steady profile of the heap that explicitly considers energy dissipation of flowing grains through inelastic collisions. We solve the model analytically and analyze the resulting height prof...

The aim of the procedure is to determine the optimal sampling times for the assessment of AUC after administration of a drug, either as a single dose or during a regular dosing schedule. For a single dose, AUC is defined as the total area under the plasma concentration time profile from time zero to infinity; for a regular dosing interval at steady state, AUC is defined as the area under the pl...

Current profile control by ac magnetic helicity injection is computationally investigated in a reversed field pinch ~RFP!. Three-dimensional resistive magnetohydrodynamics ~MHD! computation is employed to study the nonlinear MHD. During ac helicity injection, when toroidal and poloidal surface voltages are oscillated out of phase, the parallel electric field is maintained positive over a majori...

Morphogen gradients are concentration fields of molecules acting as spatial regulators of cell differentiation in developing tissues and play a fundamental role in various aspects of embryonic development. We discovered a family of self-similar solutions in a canonical class of nonlinear reaction-diffusion models describing the formation of morphogen gradients. These solutions are realized in t...

We discuss theoretically trie filling of a (two-dimensional) silo when a mixture of partiales is poured at the ceuter. Our basic tool is a coupled set of equations (for the Iocal density of rolling species, and for the profile) proposed by Bouchaud et ai. We extend this to. a pair of species, including various processes: amplification, capture, and exchange of rolling grains. Using the simplest...

Steady-state spin path. The tip-up pulse (blue) is tailored to the mean free precession angle ( within each voxel, and there is in general a mismatch between the isochromat spin phase in that voxel and the tip-up phase. (b) Transverse magnetization profile vs. phase mismatch. The observed voxel signal is obtained by integrating the profile over the intra-voxel B0 distribution, which depends on ...