Structural Stability and Stabilization of Solutions of the Reversible Three-Component Gray-Scott System
| dc.contributor.author | Kalantarova, Jamila | |
| dc.contributor.author | Ugurlu, Davut | |
| dc.date.accessioned | 2023-06-16T12:47:35Z | |
| dc.date.available | 2023-06-16T12:47:35Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | This paper is concerned with the structural stability and stabilization of solutions to the three-component reversible Gray-Scott system under the Dirichlet or Neumann boundary conditions defined in a bounded domain of Rn for 1 <= n <= 3. We prove that each solution depends on changes in a coefficient of the ratio of the reverse and forward reaction rates for the autocatalytic reaction as well as proving the continuous dependence on the initial data. We also prove that under Dirichlet's boundary conditions, the system is stabilized to the stationary solution by finitely many Fourier modes. | en_US |
| dc.identifier.doi | 10.1002/mma.5605 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85065200741 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5605 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/789 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematıcal Methods in the Applıed Scıences | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | continuous dependence on initial data | en_US |
| dc.subject | feedback stabilization | en_US |
| dc.subject | Gray-Scott equations | en_US |
| dc.subject | reversible reaction diffusion system | en_US |
| dc.subject | structural stability | en_US |
| dc.subject | Nonlinear Dissipative Systems | en_US |
| dc.subject | Finite Determining Parameters | en_US |
| dc.subject | Stirred Tank Reactor | en_US |
| dc.subject | Continuous Dependence | en_US |
| dc.subject | Autocatalytic Reactions | en_US |
| dc.subject | Brinkman Equations | en_US |
| dc.subject | Feedback-Control | en_US |
| dc.subject | Global Dynamics | en_US |
| dc.subject | Flow | en_US |
| dc.title | Structural Stability and Stabilization of Solutions of the Reversible Three-Component Gray-Scott System | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Kalantarova, Jamila] Izmir Univ Econ, Dept Math, Izmir, Turkey; [Ugurlu, Davut] Piri Reis Univ, Fac Econ & Adm Sci, Dept Management Informat Syst, Istanbul, Turkey | en_US |
| gdc.description.endpage | 3699 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3687 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2942908167 | |
| gdc.identifier.wos | WOS:000470931800015 | |
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| gdc.oaire.keywords | PDEs in connection with classical thermodynamics and heat transfer | |
| gdc.oaire.keywords | continuous dependence on initial data | |
| gdc.oaire.keywords | Asymptotic behavior of solutions to PDEs | |
| gdc.oaire.keywords | feedback stabilization | |
| gdc.oaire.keywords | Chemical kinetics in thermodynamics and heat transfer | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
| gdc.oaire.keywords | Gray-Scott equations | |
| gdc.oaire.keywords | reversible reaction diffusion system | |
| gdc.oaire.keywords | structural stability | |
| gdc.oaire.keywords | Stabilization of systems by feedback | |
| gdc.oaire.keywords | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs | |
| gdc.oaire.keywords | Stability in context of PDEs | |
| gdc.oaire.keywords | Chemically reacting flows | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Kalantarova, Jamila | |
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