Asymptotic expansion of small solutions to the Landau-Ginzburg type equations

Nakao Hayashi; Elena I. Kaikina; Pavel I. Naumkin

Asymptotic expansion of small solutions to the Landau-Ginzburg type equations

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We obtain the large time asymptotic expansion of small solutions to the Landau-Ginzburg type equations (equation presented) where α, Zeh cyrrillic sign ∈ C, ℜα > 0, ℜ(Zeh cyrrillic sign/ √2¹α|² + α²) ≥ 0, under the condition that the initial data o are sufficiently small in a suitable weighted norm and the mean value (latin small letter esh) o(cursive Greek chi) dcursive Greek chi ≠ 0.

Original language	English
Pages (from-to)	91-106
Number of pages	16
Journal	Asymptotic Analysis
Volume	32
Issue number	2
Publication status	Published - 2002 Nov

Keywords

Asymptotic expansions
Dissipative nonlinear evolution equation
Landau-Ginzburg equation

Cite this

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abstract = "We obtain the large time asymptotic expansion of small solutions to the Landau-Ginzburg type equations (equation presented) where α, Zeh cyrrillic sign ∈ C, ℜα > 0, ℜ(Zeh cyrrillic sign/ √21α|2 + α2) ≥ 0, under the condition that the initial data o are sufficiently small in a suitable weighted norm and the mean value (latin small letter esh) o(cursive Greek chi) dcursive Greek chi ≠ 0.",

keywords = "Asymptotic expansions, Dissipative nonlinear evolution equation, Landau-Ginzburg equation",

author = "Nakao Hayashi and Kaikina, {Elena I.} and Naumkin, {Pavel I.}",

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T1 - Asymptotic expansion of small solutions to the Landau-Ginzburg type equations

AU - Hayashi, Nakao

AU - Kaikina, Elena I.

AU - Naumkin, Pavel I.

PY - 2002/11

Y1 - 2002/11

N2 - We obtain the large time asymptotic expansion of small solutions to the Landau-Ginzburg type equations (equation presented) where α, Zeh cyrrillic sign ∈ C, ℜα > 0, ℜ(Zeh cyrrillic sign/ √21α|2 + α2) ≥ 0, under the condition that the initial data o are sufficiently small in a suitable weighted norm and the mean value (latin small letter esh) o(cursive Greek chi) dcursive Greek chi ≠ 0.

AB - We obtain the large time asymptotic expansion of small solutions to the Landau-Ginzburg type equations (equation presented) where α, Zeh cyrrillic sign ∈ C, ℜα > 0, ℜ(Zeh cyrrillic sign/ √21α|2 + α2) ≥ 0, under the condition that the initial data o are sufficiently small in a suitable weighted norm and the mean value (latin small letter esh) o(cursive Greek chi) dcursive Greek chi ≠ 0.

KW - Asymptotic expansions

KW - Dissipative nonlinear evolution equation

KW - Landau-Ginzburg equation

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AN - SCOPUS:0036867884

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EP - 106

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 2

ER -

Asymptotic expansion of small solutions to the Landau-Ginzburg type equations

Abstract

Keywords

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