자료유형  

 학위논문

Control Number  

0016931269

International Standard Book Number  

9798379722296

Dewey Decimal Classification Number  

620

Main Entry-Personal Name  

Rodriguez Gonzalez, Arnaldo.

Publication, Distribution, etc. (Imprint  

[S.l.] : Cornell University., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(162 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

General Note  

Advisor: Kirby, Brian.

Dissertation Note  

Thesis (Ph.D.)--Cornell University, 2023.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약This dissertation is split into three distinct scientific/mathematical endeavours, each of which involves the study of qualitative dynamics within microfluidic systems in varying degrees and contexts. Chapter 1 involves the unification and extension of dynamical theories connected to the phenomenon of deterministic lateral displacement in microfluidic devices in limits where the size of obstacles in said devices is vanishingly small, and details our use of this extension to develop algorithms that automatically design such devices for prescribed engineering applications in ways that considerably improve over previously reported designs in the literature. Chapter 2 contains work on the design, fabrication and validation of a proof-of-concept microfluidic device to enable high-throughput experimental analyses of non-equilibrium chemical reactions via the rapid and continuous formation of chemically customizable picoliter reactor droplets. Chapter 3 is purely mathematical work centered on establishing the mutual equivalence of all standard chaotic properties in discrete dynamical systems that behave in a sufficiently similar way to sets of infinite symbol sequences under shifting, when the set of infinite symbol sequences is sufficiently "well-posed" in a scientific sense. These results are formulated on sets that are not necessarily shift-invariant but include important subsets of these, and therefore represent an extension of results in that field.

Subject Added Entry-Topical Term  

Fluid mechanics.

Subject Added Entry-Topical Term  

Applied mathematics.

Subject Added Entry-Topical Term  

Engineering.

Index Term-Uncontrolled  

Chaos theory

Index Term-Uncontrolled  

Deterministic lateral displacement

Index Term-Uncontrolled  

Microfluidic systems

Index Term-Uncontrolled  

Dynamical systems

Index Term-Uncontrolled  

Mathematical work

Added Entry-Corporate Name  

Cornell University Theoretical and Applied Mechanics

Host Item Entry  

Dissertations Abstracts International. 84-12B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:641899