Global existence theory for a generalized Ginzburg-Landau equation
- 1 November 1992
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 5 (6) , 1303-1314
- https://doi.org/10.1088/0951-7715/5/6/005
Abstract
The authors obtain sufficient conditions for the global existence of solutions of a Ginzburg-Landau equation with additional fifth-order terms and cubic terms containing spatial derivatives.Keywords
This publication has 16 references indexed in Scilit:
- Periodic and quasi-periodic solutions of degenerate modulation equationsPhysica D: Nonlinear Phenomena, 1991
- On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equationPhysica D: Nonlinear Phenomena, 1990
- The effect of nonlinear gradient terms on localized states near a weakly inverted bifurcationPhysics Letters A, 1990
- Solitary waves generated by subcritical instabilities in dissipative systemsPhysical Review Letters, 1990
- Interaction of localized solutions for subcritical bifurcationsPhysical Review Letters, 1989
- Gevrey class regularity for the solutions of the Navier-Stokes equationsJournal of Functional Analysis, 1989
- Low-dimensional behaviour in the complex Ginzburg-Landau equationNonlinearity, 1988
- Exact Lyapunov Dimension of the Universal Attractor for the Complex Ginzburg-Landau EquationPhysical Review Letters, 1987
- Propagative Phase Dynamics in Temporally Intermittent SystemsEurophysics Letters, 1987
- Dimension of the attractors associated to the Ginzburg-Landau partial differential equationPhysica D: Nonlinear Phenomena, 1987