Differential Geometry of Ice Flow

Conservation Laws: Transonic Flow and Differential Geometry

The connection between gas dynamics and differential geometry is discussed. Some history of boundary value problems for systems of conservation laws is first given. Then the mathematical formulation of compressible gas dynamics, especially the subsonic and transonic flows past an obstacle (such as an airfoil), is provided. Some recent results on transonic flow from viscous approximation and com...

Recurrent metrics in the geometry of second order differential equations

Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical ...

Ice flow of the Antarctic ice sheet.

We present a reference, comprehensive, high-resolution, digital mosaic of ice motion in Antarctica assembled from multiple satellite interferometric synthetic-aperture radar data acquired during the International Polar Year 2007 to 2009. The data reveal widespread, patterned, enhanced flow with tributary glaciers reaching hundreds to thousands of kilometers inland over the entire continent. Thi...

Furrow geometry nnder surge and continuous flow

Geometry II - Discrete Differential Geometry