Inertial ranges for turbulent solutions of complex Ginzburg-Landau equations.

DOI10.1016/S0375-9601(97)00589-6zbMath1044.35525MaRDI QIDQ1968462

Donald R. Stark, C. David Levermore

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems approach to turbulence (76F20)

Related Items (2)

Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation ⋮ The world of the complex Ginzburg-Landau equation

Cites Work

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• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
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• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
• Accurate partial difference methods. I: Linear Cauchy problems
• The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
• On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass
• The one-dimensional complex Ginzburg-Landau equation in the low dissipation limit

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