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Thesis (PhD)--Montana State University--Bozeman, 2009. / Typescript. Chairperson, Graduate Committee: Tomas Gedeon. Includes bibliographical references (leaves 183-190).

Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1992. / Vita. Abstract. Includes bibliographical references (leaves 104-108). Also available via the Internet.

Thesis (M.S.)--Tennessee Technological University, 2009. / Title from title page screen (viewed on July 16, 2010). Bibliography: leaves 135-143.

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Approved for public release, distribution unlimited / The Naval Postgraduate School (NPS) Micro-Air Vehicle (MAV) wind tunnel was refurbished in this study. This wind tunnel has a 61 by 38 centimeter test section with a contraction ratio of 6.75, and testing speeds up to 9 meters per second (m/s). The objectives of this work were to create a high quality, customized facility for further MAV study, and to fully characterize the wake of the MAV at a plane downstream of the model. Extensive repairs were made to the wind tunnel intake, test section, and fan. The flow field produced in the tunnel was analyzed with hot wire anemometry. The turbulence intensity ranged from .7% to .5% for freestream velocities of 2 m/s to 5 m/s. The velocity variation across the test section ranged from .251% to .125%. A model of the NPS MAV was placed in the test section and the wake was studied with and without the main wing, and in vertical and horizontal orientations. The wake was characterized with hot wire anemometry and flow visualization techniques at various flapping frequencies and freestream velocities. / US Navy (USN) author.

In this thesis, we consider the non-uniqueness of weak solutions to the compressible isentropic Euler equations on a bounded domain. We establish a criterion for the existence of infinitely many solutions with the same initial data. Using this criterion, we prove that for general smooth initial density and velocity, there exists infinitely many weak solutions. Furthermore, given smooth initial density bounded away from zero, we can construct a initial velocity field such taht there exists infinitely many weak solutions with this initial data, and these solutions satisfy the entropy inequality for a positive finite time. The results also generalizes to the free boundary value problems. / 本論文考慮可壓等熵歐拉方程在有界區域上其弱解的非唯一性。我們建立了關於存在無窮多個有同一初始狀態的弱解的判別準則。利用此準則，我們證明了對於一般的光滑的初始密度和速度場，存在無窮多個弱解:進一步的，對於光滑有正下界的初始密度場，我們構造了一小初始速度場，證明存在滿足這樣初始資料的無窮多個弱解，並且，在一個有限時間內，這些弱解滿足熵不等式。這些結果可以推廣到自由邊界情形。 / Detailed summary in vernacular field only. / Luo, Tianwen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2012. / Includes bibliographical references (leaves 55-58). / Abstracts also in Chinese. / Introduction --- p.6 / Chapter 1 --- Preliminaries --- p.18 / Chapter 1.1 --- Notational Conventions and Function Spaces --- p.18 / Chapter 1.2 --- Elementary Inequalities --- p.19 / Chapter 1.3 --- Fundamental Lemmas --- p.21 / Chapter 2 --- Formulation and Main Results --- p.22 / Chapter 2.1 --- Mathematical Formulation --- p.23 / Chapter 2.2 --- Main Theorems and the Criterion --- p.24 / Chapter 2.3 --- The Space of Subsolutions --- p.27 / Chapter 3 --- Proof of the Main Theorems --- p.30 / Chapter 3.1 --- Proof of the Subsolution Lemma --- p.31 / Chapter 3.2 --- The Perturbation Property --- p.34 / Chapter 3.3 --- Construction of Suitable Initial Data --- p.39 / Chapter 3.4 --- Convex Integration --- p.43 / Chapter 4 --- Free Boundary Problem --- p.47 / Chapter 4.1 --- Formulation and Results --- p.48 / Chapter 4.2 --- Remarks on the Proofs --- p.51 / Chapter 5 --- Discussions and Future Work --- p.54 / Bibliography --- p.55