Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Reaction-diffusion system"”.
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Spatially coherent solutions of damped-driven nonlinear evolution equations and reaction-diffusion system
Bibliography: leaves 128-134.
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Radial, vortex, and spiral solutions to the nonlinear Schrödinger equation and other reaction--diffusion systems
… explores various solutions to nonlinear reaction-diffusion systems, focusing primarily on the nonlinear Schrödinger equation. Three types of solutions are investigated: radial solutions (with no angular dependence), vortex solutions (with angular dependence but no radial phase …
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Diffusion Processes, Metric Graphs and Boundary Value Problems for Reaction Diffusion Systems
… a mathematical model of a class of first order reaction-diffusion system, known as TAP systems, in which gas reactants and products diffuse in a domain and reaction takes place at a single relatively small catalytic site in the domain. The central problem is to determine the probability of …
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Fourth order spectral theory and diffusion-driven instability
… phantom spectral lines. In Part II, we analyze diffusion-driven (Turing) instability of a reaction-diffusion system. The innovation is that we replace the traditional Laplacian diffusion operator with a combination of the fourth order bi-Laplacian operator and the second order Laplacian. We find …
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Pattern formation in geochemical systems.
… is increasingly acknowledged. For example, in reaction-transport systems, the patterns may form spontaneously from an unpatterned state at the time of crystal growth and then become preserved by being "frozen" in the solid mineral. In this work, the pattern formation by self-organization is …
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Control of heart development in the Mexican axolotl (Ambystoma mexicanum).
… of the heart are only poorly understood for any system. An important model system for studying heart induction and differentiation is the cardiac-lethal (c) mutant in the axolotl (Ambystoma mexicanum). Embryos homozygous for the c gene develop hearts which never begin to beat, become severely …
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Absorption and metabolism of fatty acid: inverse problems and uncertainty studies
… absorption delay is included in an interactive system of insulin-glucose-fatty acids model in Chapter 3. Data from existing literature was used in determining parameters, such as transfer rate, related to these models using inverse problem technique. A significant process in the triglyceride …
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A study of the effects of spatially localized time-delayed feedback schemes on spatio-temporal patterns
… spatio-temporal chaos, spatially extended systems were subjected to protocols that perturbed them as a whole, often overlooking the potential stabilizing interaction between adjacent regions. We have shown that through the application of a time-delayed feedback scheme to a specific …
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Spatial Decay of Rotating Waves and Restrictions on Finite Disks.
In this thesis, we consider the system of reaction-diffusion equations and the behavior of the solution of such a system. The focus is to concentrate on solutions which decay at infinity. Under suitable assumptions, we prove the solution and its derivatives decay exponentially in all space. We also …
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Nanoparticle transport via holographic photopolymerization
… into holographic photopolymerization systems for the purpose of controlling the location of the nanoparticle within the periodic structure based upon control of the surface chemistry of the nanoparticle. Herein we report the successful sequestration of methacrylate functionalized, …
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A Study of Heat and Mass Transfer in Porous Sorbent Particles
… current work specifically targets the general reaction-diffusion systems arising in separation processes using porous sorbent particles. These particles are comprised of pore channels spanning length scales over almost three orders of magnitude while involving a variety of physical processes …
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Manufacturing of thermosetting polymers and composites using frontal polymerization: A numerical study
… has been introduced by the Autonomous Materials Systems (AMS) group at the University of Illinois that greatly speeds up the process and substantially reduces the energy cost (by many orders of magnitude) duration of the manufacturing process. FP is a self-propagating reaction driven by …