DSpace Collection:
http://hdl.handle.net/2440/1087
2016-12-10T20:27:26ZA new inviscid mode of instability in compressible boundary-layer flows
http://hdl.handle.net/2440/103054
Title: A new inviscid mode of instability in compressible boundary-layer flows
Author: Tunney, A.P.; Denier, J.P.; Mattner, T.W.; Cater, J.E.
Abstract: The stability of an almost inviscid compressible fluid flowing over a rigid heated surface is considered. We focus on the boundary layer that arises. The effect of surface heating is known to induce a streamwise acceleration in the boundary layer near the surface. This manifests in a streamwise velocity which exhibits a maximum larger than the free-stream velocity (i.e. the streamwise velocity exhibits an ‘overshoot’ region). We explore the impact of this overshoot on the stability of the boundary layer, demonstrating that the compressible form of the classical Rayleigh equation (which governs the development of short wavelength instabilities) possesses a new unstable mode that is a direct consequence of this overshoot. The structure of this new class of modes in the small wavenumber limit is detailed, providing a valuable confirmation of our numerical results obtained from the full inviscid eigenvalue problem.2015-01-01T00:00:00ZExtending holomorphic maps from stein manifolds into affine toric varieties
http://hdl.handle.net/2440/102867
Title: Extending holomorphic maps from stein manifolds into affine toric varieties
Author: Lärkänd, R.; Lárusson, F.
Abstract: A complex manifold Y is said to have the interpolation property if a holomorphic map to Y from a subvariety S of a reduced Stein space X has a holomorphic extension to X if it has a continuous extension. Taking S to be a contractible submanifold of X= Cⁿ gives an ostensibly much weaker property called the convex interpolation property. By a deep theorem of Forstnerič, the two properties are equivalent. They (and about a dozen other nontrivially equivalent properties) define the class of Oka manifolds. This paper is the first attempt to develop Oka theory for singular targets. The targets that we study are affine toric varieties, not necessarily normal. We prove that every affine toric variety satisfies a weakening of the interpolation property that is much stronger than the convex interpolation property, but the full interpolation property fails for most affine toric varieties, even for a source as simple as the product of two annuli embedded in C⁴.2016-01-01T00:00:00ZReflection and transmission of regular water waves by a thin, floating plate
http://hdl.handle.net/2440/102710
Title: Reflection and transmission of regular water waves by a thin, floating plate
Author: Nelli, F.; Bennetts, L.G.; Skene, D.M.; Monty, J.P.; Lee, J.H.; Meylan, M.H.; Toffoli, A.
Abstract: Abstract not available2016-01-01T00:00:00ZThe emotional arcs of stories are dominated by six basic shapes
http://hdl.handle.net/2440/102573
Title: The emotional arcs of stories are dominated by six basic shapes
Author: Reagan, A.; Mitchell, L.; Kiley, D.; Danforth, C.M.; Dodds, P.S.
Abstract: Advances in computing power, natural language processing, and digitization of text now make it possible to study a culture’s evolution through its texts using a ‘big data’ lens. Our ability to communicate relies in part upon a shared emotional experience, with stories often following distinct emotional trajectories and forming patterns that are meaningful to us. Here, by classifying the emotional arcs for a filtered subset of 1,327 stories from Project Gutenberg’s fiction collection, we find a set of six core emotional arcs which form the essential building blocks of complex emotional trajectories. We strengthen our findings by separately applying matrix decomposition, supervised learning, and unsupervised learning. For each of these six core emotional arcs, we examine the closest characteristic stories in publication today and find that particular emotional arcs enjoy greater success, as measured by downloads.2016-01-01T00:00:00Z