dc.contributor.author | Kalantarova, Jamila | |
dc.contributor.author | Uğurlu, Davut | |
dc.date.accessioned | 2021-06-05T19:56:55Z | |
dc.date.available | 2021-06-05T19:56:55Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.uri | https://doi.org/10.1002/mma.5605 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12960/398 | |
dc.description | WOS:000470931800015 | en_US |
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.language.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Continuous Dependence On İnitial 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.title | Structural stability and stabilization of solutions of the reversible three-component Gray-Scott system | en_US |
dc.type | article | en_US |
dc.department | İktisadi ve İdari Bilimler Fakültesi, Yönetim Bilişim Sistemleri Bölümü | en_US |
dc.department-temp | [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 |
dc.contributor.institutionauthor | Uğurlu, Davut | |
dc.identifier.doi | 10.1002/mma.5605 | |
dc.identifier.volume | 42 | en_US |
dc.identifier.issue | 10 | en_US |
dc.identifier.startpage | 3687 | en_US |
dc.identifier.endpage | 3699 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |