The Dirichlet-to-Neumann map, viscosity solutions to eikonal equations, and the self-dual equations of pattern formation
From MaRDI portal
Publication:1881718
DOI10.1016/j.physd.2004.06.014zbMath1058.35018OpenAlexW2031090516MaRDI QIDQ1881718
Michael E. Taylor, Nicholas M. Ercolani
Publication date: 14 October 2004
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2004.06.014
Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Elliptic equations on manifolds, general theory (58J05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
Related Items
Global description of patterns far from onset: a case study, A variational theory for point defects in patterns
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convection patterns in large aspect ratio systems
- A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- The morphology and folding patterns of buckling-driven thin-film blisters
- On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
- Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation
- Global description of patterns far from onset: a case study
- Singular perturbation and the energy of folds
- Symmetry of the Ginzburg-Landau minimizer in a disc
- Partial differential equations. 2: Qualitative studies of linear equations
- Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
- Line energies for gradient vector fields in the plane
- The geometry of the phase diffusion equation
- Remarks on elliptic singular perturbation problems
- A compactness result in the gradient theory of phase transitions
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS
- Diffusion, attraction and collapse
- Diffusive stability of rolls in the two–dimensional real and complex swift–hohenberg equation
- Pattern formation outside of equilibrium
- Diffusion processes in a small time interval
- Riemannian geometry
- Ginzburg-Landau vortices
