Publication
A class of singular first order differential equations with applications in reaction-diffusion
| dc.contributor.author | EnguiƧa, Ricardo Roque | |
| dc.contributor.author | Gavioli, Andrea | |
| dc.contributor.author | Sanchez, Luis | |
| dc.date.accessioned | 2014-09-16T19:50:13Z | |
| dc.date.available | 2014-09-16T19:50:13Z | |
| dc.date.issued | 2013-01 | |
| dc.description | AgĆŖncias Financiadoras: FCT e MIUR | por |
| dc.description.abstract | We study positive solutions y(u) for the first order differential equation y' = q(cy(1/p) - f(u)) where c > 0 is a parameter, p > 1 and q > 1 are conjugate numbers and f is a continuous function in [0, 1] such that f(0) = 0 = f(1). We shall be particularly concerned with positive solutions y(u) such that y(0) = 0 = y(1). Our motivation lies in the fact that this problem provides a model for the existence of travelling wave solutions for analogues of the FKPP equation in one space dimension, where diffusion is represented by the p-Laplacian operator. We obtain a theory of admissible velocities and some other features that generalize classical and recent results, established for p = 2. | por |
| dc.identifier.citation | ENGUIĆA, Ricardo; GAVIOLI, Andrea; SANCHEZ, Luis - A class of singular first order differential equations with applications in reaction-diffusion. Discrete and Continuous Dynamical Systems. Vol. 33, nr. 1 (2013), p. 173-191. | por |
| dc.identifier.doi | 10.3934/dcds.2013.33.173 | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/3812 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Amer Inst Mathematical Sciences | por |
| dc.relation.ispartofseries | SI | |
| dc.relation.publisherversion | https://www.aimsciences.org/journals/displayArticles.jsp?paperID=7607 | por |
| dc.subject | p-Laplacian | por |
| dc.subject | FKPP equation | por |
| dc.subject | Heteroclinic | por |
| dc.subject | Travelling wave | por |
| dc.subject | Critical speed | por |
| dc.subject | Sharp solution | por |
| dc.title | A class of singular first order differential equations with applications in reaction-diffusion | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Springfield | por |
| oaire.citation.endPage | 191 | por |
| oaire.citation.issue | 1 | por |
| oaire.citation.startPage | 173 | por |
| oaire.citation.title | Discrete and Continuous Dynamical Systems | por |
| oaire.citation.volume | 33 | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
Files
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: