Publication
Travelling wave profiles in some models with nonlinear diffusion
| dc.contributor.author | Coelho, Maria Isabel Esteves | |
| dc.contributor.author | Sanchez, Luis | |
| dc.date.accessioned | 2015-08-25T14:55:03Z | |
| dc.date.available | 2015-08-25T14:55:03Z | |
| dc.date.issued | 2014-05-25 | |
| dc.description.abstract | We study some properties of the monotone solutions of the boundary value problem (p(u'))' - cu' + f(u) = 0, u(-infinity) = 0, u(+infinity) = 1, where f is a continuous function, positive in (0, 1) and taking the value zero at 0 and 1, and P may be an increasing homeomorphism of (0, 1) or (0, +infinity) onto [0, +infinity). This problem arises when we look for travelling waves for the reaction diffusion equation partial derivative u/partial derivative t = partial derivative/partial derivative x [p(partial derivative u/partial derivative x)] + f(u) with the parameter c representing the wave speed. A possible model for the nonlinear diffusion is the relativistic curvature operator p(nu)= nu/root 1-nu(2). The same ideas apply when P is given by the one- dimensional p- Laplacian P(v) = |v|(p-2)v. In this case, an advection term is also considered. We show that, as for the classical Fisher- Kolmogorov- Petrovski- Piskounov equations, there is an interval of admissible speeds c and we give characterisations of the critical speed c. We also present some examples of exact solutions. (C) 2014 Elsevier Inc. All rights reserved. | por |
| dc.identifier.citation | COELHO, Maria Isabel Esteves; SANCHEZ, Luís – Travelling wave profiles in some models with nonlinear diffusion. Applied Mathematics and Computation. ISSN: 0096-3003. Vol. 235 (2014), pp. 469-481 | por |
| dc.identifier.doi | 10.1016/j.amc.2014.02.104 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/5018 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier Science Inc | por |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S009630031400352X# | |
| dc.subject | Relativistic Curvature | 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.title | Travelling wave profiles in some models with nonlinear diffusion | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 481 | por |
| oaire.citation.startPage | 469 | por |
| oaire.citation.title | Applied Mathematics and Computation | por |
| oaire.citation.volume | 235 | por |
| rcaap.rights | closedAccess | por |
| rcaap.type | article | por |
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