TC1: Development of theoretical tools for hydrodynamic stability. TC2: Stability threshold for hydrodynamic stability.TC3: Model stability and stability of singularity formation. TC4: Description of the onset of hydrodynamic instabilities.
The interdisciplinary research center will develop novel enabling technology on stability, instability and turbulence (SITE) in Science and Engineering. Hydrodynamic stability analysis has applications in the study of the development of singularities, the long-time behavior of complex systems, the formation of spatial patterns, the transition between stability and instability and the first steps of transition towards turbulence. SITE will leverage the theoretical developments to advance applied research on ocean flows and waves and their impact on marine ecosystems, on traffic and crowd flows and their impact on urban sustainability and safety, on biochemical reactive systems and their impact to microbiology, on game theory and knowledge modeling and their impact on socio–economic problems, on plasma physics and its impact on fusion power generation.
The Vision of SITE is to become an internationally recognized Center of Excellence involved in research activities and undergraduate and graduate education in STEM-I, with primarily research on fundamental understanding of stabilities, instabilities, weak turbulence while focusing on high-impact applications such as
(i) environmental fluid mechanics,
(ii) traffic flow,
(iii) knowledge formation
which are areas of strategic interest at NYUAD, with main focus on Technology, Data and Design.
Goals. We ask questions about the time-frame until re-stabilization, the range of weak turbulence and the pattern of/to instability. Among the challenges are:
(i) Identifying stability region,
(ii) restoring stability by means of designs,
(iii) designing smooth transitionsbetween regimes and
(iv) understanding how the instabilities can cause the development of new system regimes and phases.
Broader Impacts. The proposed center aims to advance the state of knowledge in the broad areas of stability of interactive dynamical systems. The results from the Center research will have a direct impact in several applications in social science, science, engineering and innovation. The Center will have direct impact within Abu Dhabi, the Emirates and the MENA region through applied research on coral marine ecosystems, road traffic safety, crowd management and evacuation of high level buildings and towers. There will be high emphasis on integrating student training, course development, outreach, and dissemination into the proposed effort. The proposed lab of the center will also serve as a teaching lab and capstone projects. The results of the Center research will be disseminated through a variety of local, national, regional and international venues. The investigators will supervise both graduate and undergraduate students for their senior design projects, graduate seminars, annual workshop, theses, and dissertations. An informative website and a mobile app of the center will be developed along with teaching modules focusing on stability and related fields to play a key role in knowledge transfer and outreach to other Centers and schools through various mechanisms including existing STEM-I programs.
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