Slow motion for the 1D Swift-Hohenberg equation
From MaRDI portal
Publication:338440
DOI10.1016/j.jde.2016.09.028zbMath1351.58011arXiv1604.02407OpenAlexW2963676702MaRDI QIDQ338440
Publication date: 4 November 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02407
energy functionalasymptotic analysisSwift-Hohenberg equation\(\Gamma\)-convergenceslow motion\(L^2\)-gradient flow
Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic analysis of a second-order singular perturbation model for phase transitions
- On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior
- Dynamics of interfaces in reaction diffusion systems
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
- Generation and propagation of interfaces for reaction-diffusion equations
- Ginzburg-Landau equation and motion by mean curvature. I: Convergence
- The phase dynamics method with applications to the Swift-Hohenberg equation
- Exponentially slow dynamics and interfaces intersecting the boundary
- Slow motion in the gradient theory of phase transitions via energy and spectrum
- Cellular buckling in long structures
- Slow-motion manifolds, dormant instability, and singular perturbations
- Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
- Slow motion of gradient flows
- Singular perturbation models in phase transitions for second-order materials
- Γ-type estimates for the one-dimensional Allen–Cahn’s action
- Smooth Linearization Near a Fixed Point
- On the slowness of phase boundary motion in one space dimension
- Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates∗
- Slow Motion in One-Dimensional Cahn–Morral Systems
- Slow Dynamics of Interfaces in the Allen--Cahn Equation on a Strip-like Domain
- Second Order Singular Perturbation Models for Phase Transitions
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- The generation and propagation of internal layers
- Development of interfaces in ℝN
- Pattern formation outside of equilibrium
- Slow motion in higher-order systems and \(\Gamma\)-convergence in one space dimension
- Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional
This page was built for publication: Slow motion for the 1D Swift-Hohenberg equation