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

H. Sakaguchi

doi:10.1143/ptp.82.7

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 ◽

Cited By ~ 24

Author(s):

H. Sakaguchi

Keyword(s):

Numerical Study ◽

Landau Equation ◽

Vortex Motion ◽

Two Dimensional ◽

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 ◽

Two Component

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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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Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/2/159 ◽

2001 ◽

Vol 35 (2) ◽

pp. 159-161

Author(s):

Liu Shi-Da ◽

Liu Shi-Kuo ◽

Fu Zun-Tao ◽

Zhao Qiang

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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HOC-ADI schemes for two-dimensional Ginzburg–Landau equation in superconductivity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.031 ◽

2021 ◽

Author(s):

Linghua Kong ◽

Yiyang Luo ◽

Lan Wang ◽

Meng Chen ◽

Zhi Zhao

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Adi Schemes

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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 ◽

Cited By ~ 4

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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Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.510974 ◽

2010 ◽

Vol 31 (10) ◽

pp. 1190-1211 ◽

Cited By ~ 7

Author(s):

Lei Zhang

Keyword(s):

Landau Equation ◽

Time Behavior ◽

Two Dimensional ◽

Long Time Behavior ◽

Ginzburg Landau ◽

Difference Approximations ◽

Ginzburg Landau Equation ◽

Long Time

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Erupting, flat-top, and composite spiral solitons in the two-dimensional Ginzburg–Landau equation

Physics Letters A ◽

10.1016/s0375-9601(01)00571-0 ◽

2001 ◽

Vol 289 (1-2) ◽

pp. 59-65 ◽

Cited By ~ 44

Author(s):

L.-C Crasovan ◽

B.A Malomed ◽

D Mihalache

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Phase controlling of collisions between solitons in the two-dimensional complex Ginzburg-Landau equation without viscosity

Physical Review E ◽

10.1103/physreve.84.056607 ◽

2011 ◽

Vol 84 (5) ◽

Cited By ~ 7

Author(s):

Bin Liu ◽

Xing-Dao He ◽

Shu-Jing Li

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Weak solutions to the two-dimensional derivative Ginzburg-Landau equation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02677390 ◽

1999 ◽

Vol 15 (1) ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Guo Boling ◽

Wang Bixiang

Keyword(s):

Weak Solutions ◽

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Supertransient chaos in the two-dimensional complex Ginzburg-Landau equation

Physical Review E ◽

10.1103/physreve.53.6562 ◽

1996 ◽

Vol 53 (6) ◽

pp. 6562-6565 ◽

Cited By ~ 17

Author(s):

R. Braun ◽

F. Feudel

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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