Existence and uniqueness of radially symmetric stationary points within the gradient theory of phase transitions
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Publication:4835504
DOI10.1017/S0956792500001662zbMath0827.35010MaRDI QIDQ4835504
Publication date: 29 November 1995
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Structured phase transitions on a finite interval
- On the Cahn-Hilliard equation
- The effect of a singular perturbation on nonconvex variational problems
- Slow motion for the Cahn-Hilliard equation in one space dimension
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
- The gradient theory of phase transitions and the minimal interface criterion
- The Gibbs-Thompson relation within the gradient theory of phase transitions
- Slow-motion manifolds, dormant instability, and singular perturbations
- Fast Reaction, Slow Diffusion, and Curve Shortening
- Front migration in the nonlinear Cahn-Hilliard equation
- Reaction-Diffusion Processes and Evolution to Harmonic Maps
- Asymptotic behavior of solution to the Cahn-Hillard equation
- On the Singular Limit for a Cass of Problems Modelling Phase Transitions
- Local minimisers and singular perturbations
- On the slowness of phase boundary motion in one space dimension
- On the slow dynamics for the Cahn–Hilliard equation in one space dimension
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
