This paper presents a reformulation of the problem of the slow viscous quasi-steady flow of a two-dimensional, simply connected fluid blob with surface tension. Many exact solutions for special casesâ€¦ (More)

Starting from the Navier-Stokes equation, we rigorously prove that a modi ed third order structure function ~ S 3 (r) asymptotically equals 4 r=3 ( is the dissipation rate) in the large Reynoldsâ€¦ (More)

The particular example given in Â§6 of Crowdy and Tanveer [1] to illustrate the general theory is in error because it is not consistent with the original assumptions underlying the theory. The theoryâ€¦ (More)

An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be written as a Laplacian growth model regularized by a â€˜kinetic undercoolingâ€™ boundary condition. Weâ€¦ (More)

A new technique of endoscopic carpal tunnel release using a 1.5-cm longitudinal palmar incision was used in 280 cases. The incision allows identification of the superficial palmar arch as well as theâ€¦ (More)

Two cases of evolution of interfaces in axi-symmetric Stokes flow are considered: 1) a bubble whose volume changes with time and 2) a viscous drop whose interior and exterior fluids have differentâ€¦ (More)

In this paper, we consider analytic initial conditions with nite energy, whose complex spatial continuation is a superposition of a smooth background ow and a singular eld. Through explicitâ€¦ (More)

This paper is concerned with proving global existence and stability of a translating bubble in a Hele-Shaw cell that is small relative to cell width. When the ratio of cell width to bubble dimensionâ€¦ (More)