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- W2893120690 abstract "Using some classical methods of dynamical systems, stability results and asymptotic decay of strong solutions for the complex Ginzburg-Landau equation (CGL), $$ partial_t u = (a + ialpha) Delta u - (b + i beta) |u|^sigma u + k u, ,, t > 0,,, xin Omega, $$ with $a>0, alpha, b, beta, k in mathbb{R}$, are obtained. Moreover, we show the existence of bound-states under certain conditions on the parameters and on the domain. We conclude with the proof of asymptotic stability of these bound-states when $Omega=mathbb{R}$ and $-k$ large enough." @default.
- W2893120690 created "2018-10-05" @default.
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- W2893120690 date "2018-09-28" @default.
- W2893120690 modified "2023-09-27" @default.
- W2893120690 title "Some stability results for the complex Ginzburg-Landau equation." @default.
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