OBITUARY Dr. T. S. Hele; Dr. R. Veitch Clark; Dr. A. J. Martin; Dr. Agnes V. B. Thomson; Mr. H. T. Hicks, F.R.C.S.; Mr. W. J. Richards, F.R.C.S.; Dr. J. C. Lee; Mr. F. K. Hayman, F.R.C.S.; Dr. D. V. Maxwell Adams; Mr. S. Beedle ..277-80 LEADING ARTICLES Six Guineas' Worth ................... 262 Toxicity of Chloramphenicol ...... .... 262 Bread .............................. 263 Kindness to Pat...

Critical processes of ideal integrable models of Hele-Shaw flows are considered. A regularization method based on multiscaling expansions of solutions of the KdV and Toda hierarchies characterized by string equations is proposed. Examples are exhibited in which the tritronquée solution of the Painlevé-I equation turns out to provide the leading term of the regularization

We prove exponential stability of the equilibria for two moving boundary problems describing ows in porous media which are of Hele-Shaw and Stefan type, respectively. The main tool is the principle of linearized stability for fully nonlinear parabolic evolution equations. Crucial points are the assumption of spatial periodicity for the ows and the identiication of conserved quantities.

Høsten 2022 startet store protester over hele Iran. Kvinner og unge mennesker har gått i front med slagordet «Kvinne, liv, frihet». Hva ligger egentlig bak protestene hvilke rettighetskrav er involvert?

This thesis is in the field of non-linear partial differential equations (PDE), and specifically focusing on problems which show some type of phase-transition. One of the problems deals with a multiple phase Hele-Shaw flow. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evolution of the space ...

The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities.

We study one-parameter curves on the universal Teichmüller space T and on the homogeneous space M = Diff S/Rot S embedded into T . As a result, we deduce evolution equations for conformal maps that admit quasiconformal extensions and, in particular, such that the associated quasidisks are bounded by smooth Jordan curves. Some applications to Hele-Shaw flows of viscous fluids are given.

We investigate experimentally the subcritical behavior of the Kelvin-Helmholtz instability for a gas-liquid shearing flow in a Hele-Shaw cell. The subcritical curve separating the solutions of a stable plane interface and a fully saturated nonlinear wave train is determined. Experimental results are fitted by a fifth order complex Ginzburg-Landau equation whose linear coefficients are compared ...

Models of tumor growth, now commonly used, present several levels of complexity, both in terms of the biomedical ingredients and the mathematical description. The simplest ones contain competition for space using purely fluid mechanical concepts. Another possible ingredient is the supply of nutrients through vasculature. The models can describe the tissue either at the level of cell densities, ...