Browsing by Author "Walton, Jay"
Now showing items 1-20 of 32
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Dascaliuc, Radu (Texas A&M University, 2007-04-25)We study behavior for negative times t of the 2D periodic Navier-Stokes equations and Burgers' original model for turbulence. Both systems are proved to have rich sets of solutions that exist for all t - R and increase ...
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Fujiwara, Masami; Pfeiffer, Georgia; Boggess, May; Day, Sarah; Walton, Jay (Scientific Reports, 2011)
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Khambhampati, Tejasvi Krishna (2013-12-10)Blood, the most significant biological fluids plays a very vital role in the human mechanism, in terms of supplying the required nutrients to different parts of the human body, removing waste products and defending the ...
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Golnar, Andrew John (2019-07-22)The unprecedented rates of vector-borne pathogen emergence and re-emergence highlights the necessity to identify ecological drivers of transmission heterogeneity. Mosquitoes ingest a variety of viruses, protozoan, and ...
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Popov, Petar Angelov (Texas A&M University, 2005-08-29)Shape Memory Alloys (SMAs) are metal alloys which are capable of changing their crystallographic structure as a result of externally applied mechanical or thermal loading. This work is a systematic effort to develop a ...
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Brock, Christina Marie (2017-07-28)Lyme disease (LD) is the most prevalent arthropod borne illness in the US. Currently, there is no vaccine to prevent infection with LD in humans, rather, prevention of this disease relies on avoiding exposure to the tick ...
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Zhu, Huanlin (2015-10-09)Bodies are prestressed with the intention to enhance their load carrying capacity. The primary objective of this study is to understand the effect of prestressing the constituents in composite bodies on the overall mechanical ...
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Patty, Spencer (2017-07-12)The motion of a biological cell in liquid is a rich subject for modeling. In the early 1970’s, it was realized by Canham that biological vesicles with lipid bilayer membranes reach a steady state shape that minimizes ...
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Kota, Bhagat Chandra (Texas A&M University, 2004-09-30)In this work we proposed the governing equations for describing the microwave heating process where the complex interactions between the thermo-mechanical and electromagnetic fields are taken into account. Starting point ...
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Li, Meiqin (2017-12-07)We study computational theory and numerical methods for finding multiple unstable solutions (saddle points) for two types of nonlinear variational functionals. The first type consists of Gateaux differentiable (G-differentiable) ...
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Ryan, John Maurice-Car (Texas A&M University, 2006-04-12)Systems of semilinear parabolic differential equations arise in the modelling of many chemical and biological systems. We consider m component systems of the form ut = DΔu + f (t, x, u) ∂uk/∂η =0 k ...
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Walkup, Danielle Kathryn (2018-08-15)Habitat fragmentation and habitat loss are two of the main drivers of biodiversity loss. This anthropogenic reduction of habitat and the corresponding increasing isolation can lead to negative consequences for biodiversity ...
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Bridges, Ronald 1980- (2011-08-02)In this dissertation, we use the second law of thermodynamics to find restrictions on the Gibbs potential so that there can be no dissipation associated with the deformation, in any process. We find that the use of the ...
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Minimax methods for finding multiple saddle critical points in Banach spaces and their applications Yao, Xudong (Texas A&M University, 2005-11-01)This dissertation was to study computational theory and methods for ?nding multiple saddle critical points in Banach spaces. Two local minimax methods were developed for this purpose. One was for unconstrained cases and ...
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Srinivasan, Shriram (2013-11-01)The most interesting and technologically important problems in the study of flow through porous media involve very high pressures and pressure gradients in the flow do- main such as enhanced oil recovery and carbon dioxide ...
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Brown, Donald (2012-10-19)In this dissertation we study multiscale methods for slowly varying porous media, fluid and solid coupling, and application to geomechanics. The thesis consists of three closely connected results. We outline them and their ...
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Searcy, Chad Randall (Texas A&M University, 2004-11-15)A multiple scale theory is developed for the prediction of damage evolution in heterogeneous viscoelastic media. Asymptotic expansions of the field variables are used to derive a global scale viscoelastic constitutive ...
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Jiang, Lijian (2009-05-15)In this dissertation we develop, analyze and implement effective numerical methods for multiscale phenomena arising from flows in heterogeneous porous media. The main purpose is to develop innovative numerical and analytical ...
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Wei, Peng (2019-06-24)In this work, we approximate a time-dependent problem with drift involving fractional powers of elliptic operators. The numerical scheme is based on an integral representation of the stationary problem at each time step. ...
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Wang, Changchun (2012-07-16)Variational structure plays an important role in critical point theory and methods. However many differential problems are non-variational i.e. they are not the Euler- Lagrange equations of any variational functionals, ...