Titlebook: Singularities in Fluids, Plasmas and Optics; Russel E. Caflisch,George C. Papanicolaou Book 1993 Springer Science+Business Media Dordrecht

ILEUM

Asymptotic and Numerical Results for Blowing-Up Solutions to Semilinear Heat Equationsspace-time coordinate frame without any dynamical rescaling of space, time or solution. A new equiv alent equation is derived using a nonlinear transformation. Under some assumptions, the asymptotic form, the time and the position of the singularity are determined. Blow-up in the original equation i

CURT

milligram

LVAD360

凝视

Topological Transitions in Hele-Shaw Flowdroplet forma tion through the osculation of two interfaces separating immiscible fluids. In the Hele-Shaw approximation, such a configuration reduces to interface dynamics through their representation as vortex sheets. To begin, we focus on thin fluid layers and develop an asymptotic theory which y

Chromatic

Nonlinear Dynamics of Ultra-Cold Gas therein). The main idea of cooling and trapping is connected with the dependence of radiation pressure taking into account the resonant absorption and photon radiation by atoms (see for example, [2]). The temperature of the cooling of neutral atoms (use H and hydrogen-type atoms Na, Cs) has been re

exquisite

Breach

诱惑

Well-posed Numerical Calculations for Free-Surface Flowsnal Hele-Shaw flow in a channel in the absence of surface tension effects. The results from our numerical method compare extremely well with a known analytic solution for the location of the interface.

Isometric

On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tensiontations. Our results include a sequence of computations of vortex sheets with surface tension using successively smaller suface tensions. The interfaces remain smooth and there seems to be no finite time physical singularity. Their structure also differs from the zero surface tension case.