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You searched for +publisher:"University of Arizona" +contributor:("Lomont, John"). Showing records 1 – 3 of 3 total matches.

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University of Arizona

1. Cheng, Yi-fen. The structure of shock waves in an asymptotic magnetohydrodynamics system.

Degree: 1993, University of Arizona

URL: http://hdl.handle.net/10150/186343 

We study an asymptotic MHD model system. In particular, we show its proximity to MHD system by studying the fundamental properties of MHD system in our model system. We prove the existence and boundness of the structures of intermediate shock waves in the planar model system and in the non-planar model system, respectively. We also extend the Liu's theorem on the nonlinear instability of the travelling wave solutions of the Derivative Schroedinger equation to our more general model. Advisors/Committee Members: Cushing, Jim (committeemember), Lomont, John (committeemember).

Subjects/Keywords: Dissertations, Academic.; Fluid mechanics.; Mathematics.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Cheng, Y. (1993). The structure of shock waves in an asymptotic magnetohydrodynamics system. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/186343

Chicago Manual of Style (16th Edition):

Cheng, Yi-fen. “The structure of shock waves in an asymptotic magnetohydrodynamics system. ” 1993. Doctoral Dissertation, University of Arizona. Accessed February 27, 2021. http://hdl.handle.net/10150/186343.

MLA Handbook (7th Edition):

Cheng, Yi-fen. “The structure of shock waves in an asymptotic magnetohydrodynamics system. ” 1993. Web. 27 Feb 2021.

Vancouver:

Cheng Y. The structure of shock waves in an asymptotic magnetohydrodynamics system. [Internet] [Doctoral dissertation]. University of Arizona; 1993. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10150/186343.

Council of Science Editors:

Cheng Y. The structure of shock waves in an asymptotic magnetohydrodynamics system. [Doctoral Dissertation]. University of Arizona; 1993. Available from: http://hdl.handle.net/10150/186343


University of Arizona

2. Griesan, Raymond William. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles.

Degree: 1988, University of Arizona

URL: http://hdl.handle.net/10150/184510 

Metric topologies can be viewed as one-dimensional measures. This dissertation is a topological study of two-dimensional measures. Attention is focused on locally convex vector topologies on infinite dimensional real spaces. A nabla (referred to in the literature as a 2-norm) is the analogue of a norm which assigns areas to the parallelograms. Nablas are defined for the classical normed spaces and techniques are developed for defining nablas on arbitrary spaces. The work here brings out a strong connection with tensor and wedge products. Aside from the normable theory, it is shown that nabla topologies need not be metrizable or Mackey. A class of concretely given non-Mackey nablas on the ā„“p and Lp spaces is introduced and extensively analyzed. Among other results it is found that the topological dual of ā„“ā‚ with respect to these nabla topologies is Cā‚€, one of the spaces infamous for having no normed predual. Also, a connection is made with the theory of two-norm convergence (not to be confused with 2-norms). In addition to the hard analysis on the classical spaces, a duality framework from which to study the softer aspects is introduced. This theory is developed in analogy with polar duality. The ideas corresponding to barrelledness, quasi-barrelledness, equicontinuity and so on are developed. This dissertation concludes with a discussion of angles in arbitrary normed spaces and a list of open questions. Advisors/Committee Members: Lomont, John (advisor), Suchanek, Amy (committeemember), Wright, A. Larry (committeemember), Benson, Clark (committeemember), Laetsch, Theodore (committeemember).

Subjects/Keywords: Locally convex spaces.; Topological spaces.; Vector spaces.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Griesan, R. W. (1988). Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/184510

Chicago Manual of Style (16th Edition):

Griesan, Raymond William. “Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. ” 1988. Doctoral Dissertation, University of Arizona. Accessed February 27, 2021. http://hdl.handle.net/10150/184510.

MLA Handbook (7th Edition):

Griesan, Raymond William. “Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. ” 1988. Web. 27 Feb 2021.

Vancouver:

Griesan RW. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. [Internet] [Doctoral dissertation]. University of Arizona; 1988. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10150/184510.

Council of Science Editors:

Griesan RW. Nabla spaces, the theory of the locally convex topologies (2-norms, etc.) which arise from the mensuration of triangles. [Doctoral Dissertation]. University of Arizona; 1988. Available from: http://hdl.handle.net/10150/184510


University of Arizona

3. Hadida, Ahmed Mohamed. A partially ordered semigroup of Boolean spaces.

Degree: 1988, University of Arizona

URL: http://hdl.handle.net/10150/184369 

In this thesis we are concerned with arithmetic in a certain partially ordered, commutative semigroup D. The first chapter investigates the class of countable Boolean algebras from which this semigroup arises. The elements of D correspond to the isomorphism classes of the Boolean algebras under consideration. In Chapter 2 we begin the study of the semigroup structure of D. D is axiomatically described by three groups of axioms. It is proved that these axioms are categorical. The ordering of D is used to investigate the multiplication. The set of T of torsion elements of D (elements with only finite many distinct powers), form a subsemigroup whose structure is studied. There is a natural torsion free quotient D/T whose structure is also investigated. In Chapter 3, the axioms are used to characterize elements s of T in terms of the arithmetic in the subsemigroup generated by the elements that are smaller than s. The characterization is used to determine elements of T that cover a single element. In the last part of Chapter 3, we obtain some sufficient, purely combinatorial conditions for an element to have infinite order. Advisors/Committee Members: Pierce, Richard S (advisor), Grove, Larry (committeemember), Stevenson, Fred W. (committeemember), Wood, Bruce (committeemember), Lomont, John S. (committeemember).

Subjects/Keywords: Semigroups.; Algebra, Boolean.; Lattice theory.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Hadida, A. M. (1988). A partially ordered semigroup of Boolean spaces. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/184369

Chicago Manual of Style (16th Edition):

Hadida, Ahmed Mohamed. “A partially ordered semigroup of Boolean spaces. ” 1988. Doctoral Dissertation, University of Arizona. Accessed February 27, 2021. http://hdl.handle.net/10150/184369.

MLA Handbook (7th Edition):

Hadida, Ahmed Mohamed. “A partially ordered semigroup of Boolean spaces. ” 1988. Web. 27 Feb 2021.

Vancouver:

Hadida AM. A partially ordered semigroup of Boolean spaces. [Internet] [Doctoral dissertation]. University of Arizona; 1988. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10150/184369.

Council of Science Editors:

Hadida AM. A partially ordered semigroup of Boolean spaces. [Doctoral Dissertation]. University of Arizona; 1988. Available from: http://hdl.handle.net/10150/184369

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