On the asymptotic behavior of a phase-field model for elastic phase transitions
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Publication:1363320
DOI10.1007/BF02219224zbMath0956.35020MaRDI QIDQ1363320
Publication date: 1 March 2001
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
phase transitionsnonlinear elasticitystrong couplinghyperbolic-parabolic systemlack of smoothingone-dimensional dynamical modelparabolic equation in the order parametersolid-solid elastic transitionswave ringing
Cites Work
- Unnamed Item
- On the driving traction acting on a surface of strain discontinuity in a continuum
- Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation
- A limiting ``viscosity approach to the Riemann problem for materials exhibiting change of phase
- Semigroups of linear operators and applications to partial differential equations
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- Geometric theory of semilinear parabolic equations
- Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
- A dynamical system approach to a phase transition problem
- On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
- Feedback stabilization of distributed semilinear control systems
- Energy minimization and the formation of microstructure in dynamic anti- plane shear
- On the dissipation due to wave ringing in nonelliptic elastic materials
- On the dynamics of fine structure
- Dynamic solid-solid transitions with phase characterized by an order parameter
- Trajectories joining critical points
- Dynamics as a mechanism preventing the formation of finer and fine microstructure
- Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids
- On the propagation of maximally dissipative phase boundaries in solids
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
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