Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03168587 ◽

2001 ◽

Vol 18 (2) ◽

pp. 483-501 ◽

Author(s):

Shuichi Jimbo ◽

Yoshihisa Morita

Keyword(s):

Landau Equation ◽

Vortex Motion ◽

Neumann Condition ◽

Limit Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition

Journal of Functional Analysis ◽

10.1016/j.jfa.2019.108364 ◽

2020 ◽

Vol 278 (4) ◽

pp. 108364

Author(s):

Da Rong Cheng

Keyword(s):

Landau Equation ◽

Neumann Condition ◽

Manifolds With Boundary ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Stability of solutions to the ginzburg-landau equation with neumann condition

Nonlinear Analysis ◽

10.1016/s0362-546x(96)00332-x ◽

1997 ◽

Vol 30 (6) ◽

pp. 3939-3946

Author(s):

Yoshihisa Morita

Keyword(s):

Landau Equation ◽

Neumann Condition ◽

Stability Of Solutions ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Interface and vortex motion in the two-component complex dissipative Ginzburg-Landau equation in two-dimensional space

Physical Review E ◽

10.1103/physreve.90.042925 ◽

2014 ◽

Vol 90 (4) ◽

Author(s):

Shunsuke Yabunaka

Keyword(s):

Dimensional Space ◽

Landau Equation ◽

Vortex Motion ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

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Numerical Study of Vortex Motion in the Two Dimensional Ginzburg-Landau Equation

Progress of Theoretical Physics ◽

10.1143/ptp.82.7 ◽

1989 ◽

Vol 82 (1) ◽

pp. 7-12 ◽

Author(s):

H. Sakaguchi

Keyword(s):

Numerical Study ◽

Landau Equation ◽

Vortex Motion ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Vortex dynamics for the Ginzburg–Landau equation with Neumann condition

Methods and Applications of Analysis ◽

10.4310/maa.2001.v8.n3.a5 ◽

2001 ◽

Vol 8 (3) ◽

pp. 451-478

Author(s):

Shuichi Jimbo ◽

Yoshihisa Morita

Keyword(s):

Vortex Dynamics ◽

Landau Equation ◽

Neumann Condition ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Study of the Instability of Wave Packets in Fluidized-Bed Furnaces within the Framework of Ginzburg–Landau Equation

Heat Transfer Research ◽

10.1615/heattransres.v34.i1-2.140 ◽

2003 ◽

Vol 34 (1-2) ◽

pp. 7

Author(s):

I. V. Elyukhina ◽

E. V. Toropov ◽

G. F. Kuznetsov

Keyword(s):

Fluidized Bed ◽

Landau Equation ◽

Wave Packets ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Blowup for a complex Ginzburg–Landau equation focusing on the parabolicity

Asymptotic Analysis for Nonlinear Dispersive and Wave Equations ◽

10.2969/aspm/08110375 ◽

2019 ◽

Author(s):

Takuya Tomidokoro ◽

Tomomi Yokota

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

Journal of Mathematical Physics ◽

10.1063/5.0028065 ◽

2021 ◽

Vol 62 (4) ◽

pp. 041509

Author(s):

Juncheng Wei ◽

Yuanze Wu

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Vortex Solutions

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Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09862-x ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Qifeng Zhang ◽

Jan S. Hesthaven ◽

Zhi-zhong Sun ◽

Yunzhu Ren

Keyword(s):

Error Estimate ◽

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Pointwise Error

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Kink wave, dark and bright soliton solutions for complex Ginzburg–Landau equation using Lie symmetry method

Optik ◽

10.1016/j.ijleo.2021.167048 ◽

2021 ◽

pp. 167048

Author(s):

H. Elzehri ◽

A.H. Abdel Kader ◽

M.S. Abdel Latif

Keyword(s):

Landau Equation ◽

Soliton Solutions ◽

Lie Symmetry ◽

Bright Soliton ◽

Ginzburg Landau ◽

Lie Symmetry Method ◽

Ginzburg Landau Equation ◽

Kink Wave ◽

Symmetry Method

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