The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the interfaces decreases. We will show by means of an example that the Mullins-Sekerka flow does not pr...

Dyche Mullins grew up in the southern Appalachian region of the US and attended the University of Kentucky, where he obtained B.S. degrees in Mathematics and Electrical Engineering along with a PhD in Biomedical Engineering. He was a postdoctoral fellow with Thomas Pollard, first at Johns Hopkins University School of Medicine in Baltimore, Maryland and later at The Salk Institute for Biomedical...

The Yen−Mullins model, also known as the modified Yen model, specifies the predominant molecular and colloidal structure of asphaltenes in crude oils and laboratory solvents and consists of the following: The most probable asphaltene molecular weight is ∼750 g/mol, with the island molecular architecture dominant. At sufficient concentration, asphaltene molecules form nanoaggregates with an aggr...

We consider the Mullins’ equation of a single surface grooving when diffusion is not considered as very slow. This problem can be formed by profiles in finite space region. The finiteness region allows to apply Fourier series analysis for one groove and also Mullins coefficient well slope root time-dependent. solve inverse finding time-dependent from total mass measurement. For both these probl...

The Mullins-Sekerka model is a nonlocal evolution model for hypersurfaces, which arises as a singular limit for the Cahn-Hilliard equation. Assuming the existence of sufficiently smooth solutions we will show that the one-sided Mullins-Sekerka flow does not preserve convexity. Introduction The Mullins-Sekerka flow is a nonlocal generalization of the mean curvature flow arising from physics [10,...

We present results from ground-penetrating radar (GPR) and seismic surveys for the Mullins Valley debris-covered glacier (Mullins Glacier), Antarctica, that yield local ice-thickness estimates of 80–110m in upper Mullins Valley and 150m in upper Beacon Valley. Englacial debris in upper Mullins Glacier occurs as scattered cobbles and as discrete layers. One extensive englacial debris layer, whic...

Dear Sir: In an elegant series of experiments Brinley and Mullins (1967, 1968) have examined the active and passive fluxes of sodium ions in segments of internally dialyzed squid axons. These authors claim that their technique allows ion fluxes to be studied in preparations having relatively normal permeability properties. It is therefore interesting to note that there is a significant portion ...