dc.contributor.author |
MAINI, PK |
|
dc.contributor.author |
SánchezGARDUNO, F |
|
dc.date.accessioned |
2011-01-22T10:28:32Z |
|
dc.date.available |
2011-01-22T10:28:32Z |
|
dc.date.issued |
1994 |
|
dc.identifier.issn |
0303-6812 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/3057 |
|
dc.description.abstract |
In this paper we use a dynamical systems approach to prove the existence of a unique critical value c of the speed c for which the degenerate density-dependent diffusion equation u(t)=[D(u)u(x)](x)+g(u) has: 1. no travelling wave solutions for 0<c<c, 2. a travelling wave solution u(x,t)= phi(x-ct) of sharp type satisfying phi(-infinity)=1, phi(tau)=0 For All tau greater than or equal to tau |
en_US |
dc.description.abstract |
phi'(tau(-))=-c/D'(0), phi'(tau(+))=0 and 3. a continuum of travelling wave solutions of monotone decreasing front type for each c>c. These fronts satisfy the boundary conditions phi(-infinity)=1, phi'(-infinity)=phi(+infinity)=phi'(+infinity)=0. We illustrate our analytical results with some numerical solutions. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
EXISTENCE AND UNIQUENESS OF A SHARP TRAVELING-WAVE IN DEGENERATE NONLINEAR DIFFUSION FISHER-KPP EQUATIONS |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
3226 |
|
dc.source.novolpages |
33(2):163-192 |
|
dc.subject.wos |
Biology |
|
dc.subject.wos |
Mathematical & Computational Biology |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
TRAVELING WAVES |
|
dc.subject.keywords |
NONLINEAR DIFFUSION EQUATIONS |
|
dc.subject.keywords |
SHARP SOLUTIONS |
|
dc.subject.keywords |
WAVESPEED |
|
dc.subject.keywords |
DEGENERATE DIFFUSION |
|
dc.relation.journal |
Journal of Mathematical Biology |
|