Global existence and regularity of solutions for complex Ginzburg-Landau equations

Descombes, Stéphane; Moussaoui, Mohand

Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000), p. 193-211 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

Si considerano equazioni di Ginzburg-Landau complesse del tipo $u_{t} - α Δ u + P ({|u|}^{2}) u = 0$ in $R^{N}$ dove $P$ è polinomio di grado $K$ a coefficienti complessi e $α$ è un numero complesso con parte reale positiva $ℜ α$ . Nell'ipotesi che la parte reale del coefficiente del termine di grado massimo $P$ sia positiva, si dimostra l'esistenza e la regolarità di una soluzione globale nel caso $|α| < C ℜ α$ , dove $C$ dipende da $K$ e $N$ .

Publié le : 2000-02-01

MR 1755709 | Zbl 1102.35335

@article{BUMI_2000_8_3B_1_193_0,
     author = {St\'ephane Descombes and Mohand Moussaoui},
     title = {Global existence and regularity of solutions for complex Ginzburg-Landau equations},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3-A},
     year = {2000},
     pages = {193-211},
     zbl = {1102.35335},
     mrnumber = {1755709},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_1_193_0}
}

Descombes, Stéphane; Moussaoui, Mohand. Global existence and regularity of solutions for complex Ginzburg-Landau equations. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 193-211. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_1_193_0/

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