Diffusion and cross-diffusion in pattern formation
Ni, Wei-Ming
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004), p. 197-214 / Harvested from Biblioteca Digitale Italiana di Matematica
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as 2×2 systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.

Publié le : 2004-12-01
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     author = {Wei-Ming Ni},
     title = {Diffusion and cross-diffusion in pattern formation},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {15},
     year = {2004},
     pages = {197-214},
     zbl = {1162.35370},
     mrnumber = {2148879},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2004_9_15_3-4_197_0}
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Ni, Wei-Ming. Diffusion and cross-diffusion in pattern formation. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004) pp. 197-214. http://gdmltest.u-ga.fr/item/RLIN_2004_9_15_3-4_197_0/

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