Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources
| dc.contributor.author | de Bonis, Ida | |
| dc.contributor.author | Muntean, Adrian | |
| dc.date.accessioned | 2022-06-10T18:38:12Z | |
| dc.date.available | 2022-06-10T18:38:12Z | |
| dc.date.issued | 2017-09-06 | |
| dc.description.abstract | We discuss the existence of a class of weak solutions to a nonlinear parabolic system of reaction-diffusion type endowed with singular production terms by reaction. The singularity is due to a potential occurrence of quenching localized to the domain boundary. The kind of quenching we have in mind is due to a twofold contribution: (i) the choice of boundary conditions, modeling in our case the contact with an infinite reservoir filled with ready-to-react chemicals and (ii) the use of a particular nonlinear, non-Lipschitz structure of the reaction kinetics. Our working techniques use fine energy estimates for approximating non-singular problems and uniform control on the set where singularities are localizing. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | de Bonis, I., & Muntean, A. (2017). Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources. Electronic Journal of Differential Equations, 2017(202), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15896 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Reaction-diffusion systems | |
| dc.subject | Singular parabolic equations | |
| dc.subject | Weak solutions | |
| dc.title | Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources | |
| dc.type | Article |