Phase turbulence in the complex Ginzburg-Landau equation via Kuramoto-Sivashinsky phase dynamics

DOI10.1007/S00220-004-1073-ZzbMath1053.35125arXivmath-ph/0302021OpenAlexW1976229420MaRDI QIDQ1885642

Guillaume van Baalen

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0302021

zbMATH Keywords

periodic solutionKuramoto-Sivashinsky equationinstability regiontraveling wave solutionphase turbulencecomplex Ginzburg-Laudau initial value problem

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Dynamical systems approach to turbulence (76F20)

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