MULTIDIMENSIONAL REACTION-DIFFUSION EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS

Authors
LACEY AA OCKENDON JR SABINA J
Citation
Aa. Lacey et al., MULTIDIMENSIONAL REACTION-DIFFUSION EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS, SIAM journal on applied mathematics (Print), 58(5), 1998, pp. 1622-1647
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics (Print) → ACNP
ISSN journal
00361399
Volume
58
Issue
5
Year of publication
1998
Pages
1622 - 1647
Database
ISI
SICI code
0036-1399(1998)58:5<1622:MREWNB>2.0.ZU;2-W
Abstract
We consider diffusion models in which distributed nonlinear absorption mechanisms compete with nonlinear boundary sources. Assuming that the nonlinearities are weak, formal asymptotic approximations are constru cted to describe stability of steady states and the behavior of soluti ons of initial-boundary value problems.