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On the dynamics of fine structure

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-52595-5_81openalex-snapshot
Dynamics and minimizing sequences
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-1-4612-5929-9openalex-snapshot
Applications of Centre Manifold Theory
inferredcites →https://doi.org/10.1007/978-1-4613-8165-5openalex-snapshot
Optimization—Theory and Applications
inferredcites →https://doi.org/10.1007/978-1-4684-0313-8openalex-snapshot
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
inferredcites →https://doi.org/10.1007/978-3-322-84035-6openalex-snapshot
Optimization Theory and Applications
inferredcites →https://doi.org/10.1007/bf00045617openalex-snapshot
Numerical studies of loss of ellipticity near singularities in an elastic material
inferredcites →https://doi.org/10.1007/bf00045618openalex-snapshot
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
inferredcites →https://doi.org/10.1007/bf00280411openalex-snapshot
Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability
inferredcites →https://doi.org/10.1007/bf00281246openalex-snapshot
Fine phase mixtures as minimizers of energy
inferredcites →https://doi.org/10.1007/bf01061356openalex-snapshot
On the reduction principle in the theory of stability of motion
inferredcites →https://doi.org/10.1007/bf01129598openalex-snapshot
Frustration in ferromagnetic materials
inferredcites →https://doi.org/10.1007/bf01211070openalex-snapshot
The Becker-D�ring cluster equations: Basic properties and asymptotic behaviour of solutions
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1016/0016-0032(71)90005-6openalex-snapshot
Lectures on the calculus of variations and optimal control theory
inferredcites →https://doi.org/10.1016/0022-0396(67)90016-2openalex-snapshot
The stable, center-stable, center, center-unstable, unstable manifolds
inferredcites →https://doi.org/10.1016/0022-0396(78)90032-3openalex-snapshot
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
inferredcites →https://doi.org/10.1016/0022-0396(79)90152-9openalex-snapshot
Geometric singular perturbation theory for ordinary differential equations
inferredcites →https://doi.org/10.1016/0022-5096(89)90001-xopenalex-snapshot
Phase changes induced by deformation in isothermal elastic crystals
inferredcites →https://doi.org/10.1016/s0294-1449(16)30403-6openalex-snapshot
Solutions in the large for certain nonlinear parabolic systems
inferredcites →https://doi.org/10.1017/s0308210500026561openalex-snapshot
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
inferredcites →https://doi.org/10.1080/00036817408839081openalex-snapshot
A bifurcation problem for a nonlinear partial differential equation of parabolic type †
inferredcites →https://doi.org/10.1088/0951-7715/1/2/001openalex-snapshot
Low-dimensional behaviour in the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1088/0951-7715/2/3/004openalex-snapshot
Trend to equilibrium in the Becker-Doring cluster equations
inferredcites →https://doi.org/10.1090/s0002-9947-1991-1015926-7openalex-snapshot
Stable Patterns in a Viscous Diffusion Equation
inferredcites →https://doi.org/10.1098/rsta.1992.0013openalex-snapshot
Proposed experimental tests of a theory of fine microstructure and the two-well problem
inferredcites →https://doi.org/10.21236/ada074052openalex-snapshot
Applications of Centre Manifold Theory.
inferredcites →https://doi.org/10.2140/pjm.1985.118.199openalex-snapshot
Stability for semilinear parabolic equations with noninvertible linear operator
inferredcites →https://doi.org/10.2307/1913279openalex-snapshot
Lectures on the Calculus of Variations and Optimal Control Theory

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Remarks on Compactness in the Formation of Fine Structures
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Kinks versus Shocks
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Applications in continuum mechanics and physics of solids
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Energy minimization and the formation of microstructure in dynamic anti-plane shear
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Dynamics as a mechanism preventing the formation of finer and finer microstructure
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On the classification of phase transitions
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The computation of the dynamics of the martensitic transformation
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The asymptotic behavior of solutions to the Kirchhoff equation with a viscous damping term
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Variational models for microstructure and phase transitions
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Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure
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Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces
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Modelling and numerical simulation of martensitic transformation in shape memory alloys
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Young-Measure Solutions for a Viscoelastically Damped Wave Equation with Nonmonotone Stress-Strain Relation
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The relaxation of non-quasiconvex variational integrals
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Hysteresis and Stick-Slip Motion of Phase Boundaries in Dynamic Models of Phase Transitions
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The computational modeling of nonequilibrium thermodynamics of the martensitic transformations
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Existence of stationary solutions and local minima for 2D models of fine structure dynamics
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Bifurcations in the Regularized Ericksen Bar Model
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Quasistatic Nonlinear Viscoelasticity and Gradient Flows
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Modelling of Microstructure and its Evolution in Shape-Memory-Alloy Single-Crystals, in Particular in CuAlNi
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An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
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Computational modeling of the martensitic transformation with surface energy
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Wedge-like microstructure in martensites
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