{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Numerical Study of Reaction-Diffusion Systems using Front Tracking","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree"},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/11401/78151"},{"label":"dc.language.iso","value":"en_US"},{"label":"dcterms.abstract","value":"Abstract of the Dissertation Numerical Study of Reaction-Diffusion Systems using Front Tracking By Saurabh Gajanan Joglekar Doctor of Philosophy In Applied Mathematics and Statistics (Concentration - Computational Applied Mathematics) Stony Brook University 2017 We study the three component Reaction-Diffusion systems with and without precipitation and crystal growth. Focus is on the generic chemical reaction represented by nA + mB --> C, where n,m are the stoichiometric coefficients. In case of the reaction-diffusion system without precipitation, we investigate the movement of the center of reaction zone in for equal and unequal diffusivities. We compare the analytical and numerical solutions for equal diffusivities to establish the accuracy of the numerical method. Then we apply the numerical method to provide numerical evidence in support of a conjecture in the case of unequal diffusivities. Next, we apply the Front Tracking method to study the reaction-diffusion systems with crystal growth in higher spatial dimensions. The effects of different parameters on the crystal growth are investigated. Key words: Reaction-Diffusion System, Reaction-Diffusion Equations, Reaction zone/front, Center of reaction front, front tracking, crystal growth."},{"label":"dcterms.available","value":"2018-03-22T22:39:08Z"},{"label":"dcterms.contributor","value":"Samulyak, Roman"},{"label":"dcterms.creator","value":"Joglekar, Saurabh Gajanan"},{"label":"dcterms.dateAccepted","value":"2018-03-22T22:39:08Z"},{"label":"dcterms.dateSubmitted","value":"2018-03-22T22:39:08Z"},{"label":"dcterms.description","value":"Department of Applied Mathematics and Statistics."},{"label":"dcterms.extent","value":"107 pg."},{"label":"dcterms.format","value":"Monograph"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/11401/78151"},{"label":"dcterms.issued","value":"2017-08-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2018-03-22T22:39:08Z (GMT). No. of bitstreams: 1\nJoglekar_grad.sunysb_0771E_13481.pdf: 12717069 bytes, checksum: 2e61491107e5332a14b8db9eadc9053c (MD5)\n  Previous issue date: 2017-08-01"},{"label":"dcterms.subject","value":"Crystal Growth"},{"label":"dcterms.title","value":"Numerical Study of Reaction-Diffusion Systems using Front Tracking"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/86%2F46%2F81%2F86468152947888436630526760881519266518/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/86%2F46%2F81%2F86468152947888436630526760881519266518","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}