Multidimensional travelling waves in the monostable case

Citation
V. Volpert et A. Volpert, Multidimensional travelling waves in the monostable case, CR AC S I, 328(2), 1999, pp. 123-128
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
2
Year of publication
1999
Pages
123 - 128
Database
ISI
SICI code
0764-4442(199901)328:2<123:MTWITM>2.0.ZU;2-E
Abstract
We prove existence and stability of multidimensional travelling waves for m onotone parabolic systems of equations. We consider the so-called monostabl e case for which one of the limiting values at infinity is stable with resp ect to the limiting problem and another one is unstable. (C) Academie des S ciences/Elsevier, Paris.