Length scales in solutions of the complex Ginzburg-Landau equation
From MaRDI portal
Publication:1904330
DOI10.1016/0167-2789(95)00275-8zbMath0885.35012OpenAlexW2063658310MaRDI QIDQ1904330
Marcel Oliver, John D. Gibbon, Michele V. Bartuccelli
Publication date: 19 December 1995
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(95)00275-8
Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)
Related Items
Neumann inhomogeneous boundary value problem for the \(n + 1\) complex Ginzburg-Landau equation ⋮ On the asymptotic positivity of solutions for the extended Fisher-Kolmogorov equation with nonlinear diffusion ⋮ Global existence for the generalised 2D Ginzburg-Landau equation ⋮ Numerically derived scalings for the complex Ginzburg-Landau equation ⋮ A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg-Landau equation ⋮ Classical solutions for a generalized Euler equation in two dimensions ⋮ Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions ⋮ Existence and decay estimates of solutions to complex Ginzburg-Landau type equations ⋮ Localized estimates and Cauchy problem for the logarithmic complex Ginzburg–Landau equation ⋮ Dirichlet inhomogeneous boundary value problem for the \(n+1\) complex Ginzburg-Landau equation. ⋮ The rate for decay of solutions in nonlinear dissipative partial differential equations ⋮ Bounds for the solutions of the complex Ginzburg-Landau equation in terms of the dispersion parameters ⋮ A population model with time-dependent delay ⋮ Intermittency and regularity issues in \(3D\) Navier-Stokes turbulence ⋮ Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg equation in one and two space dimensions ⋮ Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise ⋮ Symmetry and chaos in the complex Ginzburg-Landau equation - I. Reflectional symmetries ⋮ Conditions for positivity of solutions of a class of dissipative partial differential equations ⋮ On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations ⋮ On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation ⋮ Asymptotics for the generalized two-dimensional Ginzburg-Landau equation ⋮ Global existence of solutions to the derivative 2D Ginzburg-Landau equation ⋮ The time-periodic solution to a 2D generalized Ginzburg-Landau equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- On the dimension of the attractors in two-dimensional turbulence
- Weak and strong solutions of the complex Ginzburg-Landau equation
- Length scales in solutions of the Navier-Stokes equations
- Attractors representing turbulent flows
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- A Stability Criterion for Envelope Equations
- Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
- Applied Analysis of the Navier-Stokes Equations
- The one-dimensional complex Ginzburg-Landau equation in the low dissipation limit
- Finite bandwidth, finite amplitude convection
