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In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...
A slab (or plank) is the part of the d-dimensional Euclidean space that lies between two parallel hyperplanes. The distance between the these hyperplanes is called the width of the slab. It is conjectured that the members of any infinite family of slabs wi ...
In this work, we define a deformation theory for the coupled Kahler-Yang-Mills equations, generalizing work of Sz,kelyhidi on constant scalar curvature Kahler metrics. We use the theory to find new solutions of the equations via deformation of the complex ...
Concentrations measured during the course of reactions are typically corrupted by random noise. Data reconciliation techniques improve the accuracy of measurements by using redundancies in the material and energy balances expressed as relationships between ...
PURPOSE: Most existing methods for accelerated parallel imaging in MRI require additional data, which are used to derive information about the sensitivity profile of each radiofrequency (RF) channel. In this work, a method is presented to avoid the acquisi ...
To address the classic interior tomography problem where projections at each view extend only to the shadow of a circular region completely interior to the subject being scanned, previously we showed that the exact recovery of two- and three-dimensional pi ...
Motivated by the interior tomography problem, we propose a method for exact reconstruction of a region of interest of a function from its local Radon transform in any number of dimensions. Our aim is to verify the feasibility of a one-dimensional reconstru ...
Recent innovations and developments in the field of nanotechnology and subsequent advent of miniaturized moving components have led scientists to extensively investigate the atomic-scale origins of friction and lubrication. According to the classical Strib ...
Tribological problems are particularly difficult to comprehend. Different physical mechanisms (including the environment, plastic deformation, third body interactions, phase transformations, recrystallization) interact at disparate length and time scales. ...
We construct blow-up solutions of the energy critical wave map equation on R2+1→N with polynomial blow-up rate (t−1−ν for blow-up at t=0) in the case when N is a surface of revolution. Here we extend the blow-u ...
