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Browsing Department of Mathematics by Title

Shirokoff, David (David George)
(Massachusetts Institute of Technology, 2011)
In this thesis, we address two problems involving partial differential equations. In the first problem, we reformulate the incompressible NavierStokes equations into an equivalent pressure Poisson system. The new system ...

Christensen, J. Daniel (John Daniel)
(Massachusetts Institute of Technology, 1997)

Van Tilburg, Ken
(Massachusetts Institute of Technology, 2011)
In this thesis, I explore aspects of a new jet shape  Nsubjettiness  designed to identify boosted hadronicallydecaying objects (with a particular focus on tagging top quarks) at particle accelerators such as the Large ...

Kelly, Edmund Francis Aloysius
(Massachusetts Institute of Technology, 1970)

Goddard, Christina M. (Christina Margaret)
(Massachusetts Institute of Technology, 2006)
In this thesis, we effectively construct a predecessor function for the type definitions in the raw hierarchy for any weaklyscattered theory. Using this predecessor function, we improve a recent bounding result by Sacks ...

Knee, David I
(Massachusetts Institute of Technology, 1962)

Kottke, Christopher N. (Christopher Nicholas)
(Massachusetts Institute of Technology, 2010)
In this thesis, I investigate the index of Callias type operators on asymptotically conic manifolds (also known as asymptotically locally Euclidean manifolds or scattering manifolds) and give an application to the moduli ...

Kilic, Mustafa Sabri
(Massachusetts Institute of Technology, 2008)
The classical transport theory cannot explain the experimental behavior of electrochemical systems in the extreme operating conditions required by modern microfluidics devices. Some experimental puzzles include strange ...

Squires, Todd M.; Bazant, Martin Z.
(Cambridge University Press, 2004)
We describe the general phenomenon of â€˜inducedcharge electroosmosis’ (ICEO) –
the nonlinear electroosmotic slip that occurs when an applied field acts on the ionic
charge it induces around a polarizable surface. ...

Osorno, Angélica María
(Massachusetts Institute of Technology, 2010)
In recent work of BaasDundasRichterRognes, the authors introduce the notion of the K theory of a bimonoidal category R, and show that it is equivalent to the algebraic Ktheory space of the ring spectrum KR. In this ...

Chin, Sang Hoon, 1971
(Massachusetts Institute of Technology, 1998)

Poulin, Francis Joseph, 1972
(Massachusetts Institute of Technology, 2002)
The central focus of my thesis is to study the instability jets of various complexity by analyzing the linear and nonlinear dynamics. We applied this methodology to four different situations in order to learn the following. ...

Lu, Wenxuan
(Massachusetts Institute of Technology, 2011)
We study two instanton correction problems of Hitchin's moduli spaces along with their wall crossing formulas. The hyperkahler metric of a Hitchin's moduli space can be put into an instantoncorrected form according to ...

Baddoura, Mohamed Jamil
(Massachusetts Institute of Technology, 1994)

Proctor, Robert Alan
(Massachusetts Institute of Technology, 1981)

Burch, Damian
(Massachusetts Institute of Technology, 2009)
A new continuum model has been proposed by Singh, Ceder, and Bazant for the ion intercalation dynamics in a single crystal of rechargeablebattery electrode materials. It is based on the CahnHilliard equation coupled to ...

Yavin, David
(Massachusetts Institute of Technology, 1991)

Solomon, Jake P. (Jake Philip)
(Massachusetts Institute of Technology, 2006)
We define a new family of open GromovWitten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian ...

Soh, Hsin P
(Massachusetts Institute of Technology, 1931)

Helgason, S.
(American Mathematical Society, 1977)