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Filtering by: Creator Schmittner, Andreas Remove constraint Creator: Schmittner, Andreas Degree Field Mathematics Remove constraint Degree Field: Mathematics

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Reynolds Stress Tensor Systems and Applications to Nonuniqueness of Weak Solutions to Fluid

Creator:

Donaghue, Patrick E.

Abstract:

In the 1954 John Nash [1] showed, through use of an iterative scheme of approximate embedding maps, that the sphere S² could be isometrically embedded into a ball of any radius by a C¹ map. In the 1980's M. Gromov [2] generalized Nash's work to the h-principal and convex integration....

Resource Type:

Masters Thesis
Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Creator:

Bigler, Lisa A.

Abstract:

In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...

Resource Type:

Masters Thesis
Valuing options in a discrete time regime switching model with jumps

Creator:

Chunikhina, Evgenia V.

Abstract:

In this work, we provide a detailed analysis of a discrete time regime switching financial market model with jumps. We consider the model under two different scenarios: known and unknown initial regime. For each scenario we investigated conditions that guarantee the model's completeness. We find that the model under consideration...

Resource Type:

Masters Thesis
Nonlinear solvers for a model problem of fluid flow in the subsurface

Creator:

Biederman, Shannon Miriah

Abstract:

Water is one of the most biologically and economically important substances on Earth. A significant portion of Earth's water subsists in the subsurface. Our ability to monitor the flow and transport of water and other fluids through this unseen environment is crucial for a myriad of reasons. One difficulty we...

Resource Type:

Masters Thesis
3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

Creator:

Wongsason, Patcharee

Abstract:

3D vector tomography has been explored and results have been achieved in the last few decades. Among these was a reconstruction formula for the solenoidal part of a vector field from its Doppler transform with sources on a curve. The Doppler transform of a vector field is the line integral...

Resource Type:

Dissertation
Branching random walk and probability problems from physics and biology

Creator:

Johnson, Torrey

Abstract:

This thesis studies connections between disorder type in tree polymers and the branching random walk and presents an application to swarm site-selection. Chapter two extends results on tree polymers in the infinite volume limit to critical strong disorder. Almost sure (a.s.) convergence in the infinite volume limit is obtained for...

Resource Type:

Dissertation
Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

Creator:

Manore, Carrie Anna

Abstract:

Modeling and analyzing the combined effects of disease and population dynamics is important in understanding the effects of mechanisms such as pathogen transmission and direct competition between host species on the distribution and abundance of different species in an ecological community. Mathematical analysis of such models in a spatially explicit...

Resource Type:

Dissertation

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Academic Affiliation

Mathematics7

Advisor

Waymire, Edward C.2
Bokil, Vrushali A.1
Finch, David V.1
Peszynska, Malgorzata1
Peszynska, Malgorzata S.1
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Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 2007 to 2020

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Committee Member

Schmittner, Andreas7
Ossiander, Mina E.2
Thomann, Enrique A.2
Bokil, Vrushali A.1
Cozzi, Elaine1
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Creator

Biederman, Shannon Miriah1
Bigler, Lisa A.1
Chunikhina, Evgenia V.1
Donaghue, Patrick E.1
Johnson, Torrey1
more Creators »

Date

Date range begin – Date range end

Current results range from 2007 to 2019

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Decade

2010-20196
2000-20091

Degree Field

Mathematics[remove]7

Degree Level

Master's4
Doctoral3

Degree Name

Master of Science (M.S.)4
Doctor of Philosophy (Ph.D.)3

File Format

application/pdf1

Language

English [eng]7

License

All rights reserved7

Non-Academic Affiliation

Oregon State University. Graduate School5

Peer Reviewed

No7

Resource Type

Masters Thesis4
Dissertation3

Rights Statement

In Copyright7

Subject

Aphids as carriers of disease -- Mathematical models1
Barley yellow dwarf viruses -- Mathematical models1
Bees -- Swarming -- Mathematical models1
Derivative securities -- Econometric models1
Discrete-time systems1
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