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In this thesis, we study some linear and nonlinear problems involving differential forms. We begin by studying the problem of pullbacks which asks the following question: for two given differential forms, if one is the pullback of the other via a diffeomor ...
We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M,g) and the Lq,p-cohomology of that manifold. The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential ...
The core dynamics of the Stokes eigenmodes subjected to satisfy no-slip boundary conditions on any 2D closed contour, or 3D surface, is shown to be characterized by a linear differential functional relationship between the vector potential and vorticity, $ ...
This paper presents a regular layout fabric made of via-programmable MCML universal logic cells for structured ASIC applications and the associated design flow. The proposed structured ASIC fabric offers very high noise immunity due to the differential ope ...
In this thesis we deal with three different but connected questions. Firstly (cf. Chapter 2) we make a systematic study of the generalized notions of convexity for sets. We study the notions of polyconvex, quasiconvex and rank one convex set. We remark tha ...
Resonant Doppler Fourier Domain Optical Coherence Tomography is a functional imaging modality for quantifying fast tissue flow. The method profits from the effect of interference fringe blurring in spectrometer-based FDOCT in the presence of sample motion. ...
Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007
When strained Stranski-Krastanow islands are used as "self-assembled quantum dots," a key goal is to control the island position. Here we show that nanoscale grooves can control the nucleation of epitaxial Ge islands on Si(001), and can drive lateral motio ...
Scala is a general purpose programming language designed to express common programming patterns in a concise, elegant, and type-safe way. It smoothly integrates features of object-oriented and functional languages. It is also fully interoperable with Java. ...
We present a novel, automated way to find differential paths for MD5. As an application we have shown how, at an approximate expected cost of 2 50 calls to the MD5 compression function, for any two chosen message prefixes P and P′, suffixe ...
We study Wave Maps from R2+1 to the hyperbolic plane H-2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+mu, mu > 0. We show that such Wave Maps don't develop singularities i ...