Weak variations of Lipschitz graphs and stability of phase boundaries
From MaRDI portal
Publication:367911
DOI10.1007/s00161-010-0171-8zbMath1272.74520OpenAlexW2169657760MaRDI QIDQ367911
Vladislav A. Kucher, Yury Grabovsky, L. M. Truskinovskij
Publication date: 17 September 2013
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00161-010-0171-8
second variationcalculus of variationsstrong local minimummartensitic phase transitionsLipschitz extremalsmorphological stability
Related Items (8)
Legendre-Hadamard conditions for two-phase configurations ⋮ Weak variations of Lipschitz graphs and stability of phase boundaries ⋮ Higher regularity of uniform local minimizers in Calculus of Variations ⋮ Reformation instability in elastic solids ⋮ Tool wear detection using Lipschitz exponent and harmonic wavelet ⋮ Normality condition in elasticity ⋮ Equilibrium shapes of a heterogeneous bubble in an electric field: a variational formulation and numerical verifications ⋮ Roughening instability of broken extremals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak variations of Lipschitz graphs and stability of phase boundaries
- Roughening instability of broken extremals
- Piecewise-homogeneous plates of extremal stiffness
- Finite deformation by mechanical twinning
- Direct approach to the problem of strong local minima in calculus of variations
- Normal modes and nonlinear stability behaviour of dynamic phase boundaries in elastic materials
- Variational principles of continuum mechanics. II: Applications
- Quasiconvexity and partial regularity in the calculus of variations
- On the positivity of the second variation in finite elasticity
- Some necessary conditions at an internal boundary for minimizers in finite elasticity
- Convexity conditions and existence theorems in nonlinear elasticity
- Quasiconvexity at the boundary and a simple variational formulation of Agmon's condition
- Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction
- Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
- Partial regularity of strong local minimizers in the multi-dimensional calculus of variations
- A singular minimizer of a smooth strongly convex functional in three dimensions
- Necessary conditions at the boundary for minimizers in finite elasticity
- Configuration forces as basic concepts of continuum physics
- Stability of subsonic planar phase boundaries in a van der Waals fluid
- The coerciveness problem for integro-differential forms
- On the existence of C ∞ solutions to the asymptotic characteristic initial value problem in general relativity
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- On new phase inclusions in elastic solids
- Sufficient conditions for strong local minima: The case of $C^{1}$ extremals
- Optimal design and relaxation of variational problems, I
- Two-Dimensional Grained Composites of Extreme Rigidity
- Non-Lipschitz minimizers of smooth uniformly convex functionals
- The coerciveness problem for forms over vector valued functions
- Initial boundary value problems for hyperbolic systems
- Conservation Laws and Energy-Release Rates
- Direct methods in the calculus of variations
This page was built for publication: Weak variations of Lipschitz graphs and stability of phase boundaries
