Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation

C. Bu; R. Shull; A. Mareno

doi:10.1016/0893-9659(96)00087-0

Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation

C. Bu
, R. Shull
, A. Mareno

School of Science, Engineering & Technology (Harrisburg)

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

1 Scopus citations

Abstract

We study the Cauchy problem for the following generalized Ginzburg-Landau equation u_t = (v + iα)Δu - (κ + iβ)|u|^2qu + γu in two spatial dimensions for g > 1 (here α, β, γ are real parameters and v, κ > 0). A blow-up of solutions is found via numerical simulation in several cases for q > 1.

Original language	English (US)
Pages (from-to)	13-17
Number of pages	5
Journal	Applied Mathematics Letters
Volume	9
Issue number	6
DOIs	https://doi.org/10.1016/0893-9659(96)00087-0
State	Published - Nov 1996

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/0893-9659(96)00087-0

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title = "Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation",

abstract = "We study the Cauchy problem for the following generalized Ginzburg-Landau equation ut = (v + iα)Δu - (κ + iβ)|u|2qu + γu in two spatial dimensions for g > 1 (here α, β, γ are real parameters and v, κ > 0). A blow-up of solutions is found via numerical simulation in several cases for q > 1.",

author = "C. Bu and R. Shull and A. Mareno",

year = "1996",

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doi = "10.1016/0893-9659(96)00087-0",

language = "English (US)",

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journal = "Applied Mathematics Letters",

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publisher = "Elsevier Ltd",

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T1 - Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation

AU - Bu, C.

AU - Shull, R.

AU - Mareno, A.

PY - 1996/11

Y1 - 1996/11

N2 - We study the Cauchy problem for the following generalized Ginzburg-Landau equation ut = (v + iα)Δu - (κ + iβ)|u|2qu + γu in two spatial dimensions for g > 1 (here α, β, γ are real parameters and v, κ > 0). A blow-up of solutions is found via numerical simulation in several cases for q > 1.

AB - We study the Cauchy problem for the following generalized Ginzburg-Landau equation ut = (v + iα)Δu - (κ + iβ)|u|2qu + γu in two spatial dimensions for g > 1 (here α, β, γ are real parameters and v, κ > 0). A blow-up of solutions is found via numerical simulation in several cases for q > 1.

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UR - https://www.scopus.com/pages/publications/30244448962#tab=citedBy

U2 - 10.1016/0893-9659(96)00087-0

DO - 10.1016/0893-9659(96)00087-0

M3 - Article

AN - SCOPUS:30244448962

SN - 0893-9659

VL - 9

SP - 13

EP - 17

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 6

ER -

Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation

Abstract

All Science Journal Classification (ASJC) codes

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