On the dynamics of fine structure

Journal of Nonlinear Science

Volumn 1, Issue 1, 1991, Pages 17-70

  Ball, J M ^a   Holmes, P J ^b   James, R D ^c   Pego, R L ^d   Swart, P J ^b  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

^b Cornell University ^*  (United States)

^c UNIVERSITY OF MINNESOTA   (United States)

^d UNIVERSITY OF MARYLAND   (United States)

Author keywords

fine structure; loss of ellipticity; minimizing sequences; nonlinear partial differential equations; phase transformation

Indexed keywords

EID: 0003006268     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/BF01209147     Document Type: Article

References (28)

1. On the asymptotic behaviour of generalized processes, with applications to nonlinear evolution equations
2. Dynamics and minimizing sequences
3. Asymptotic behaviour of solutions of the Becker-Döring equations for arbitrary initial data
4. The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
5. Fine phase mixtures as minimizers of energy
6. A bifurcation problem for a nonlinear parabolic equation
7. Low-dimensional behaviour in the complex Ginzburg-Landau equation
8. Geometric singular perturbation theory for ordinary differential equations
9. Solutions in the large for certain nonlinear parabolic systems
10. The stable, center-stable, center, center-unstable, and unstable manifolds
11. Stability for semilinear parabolic equations with noninvertible linear operator
12. Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
13. A reduction principle in the theory of the stability of motion
14. Numerical studies of loss of ellipticity near singularities in an elastic material
15. Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
16. Trend to equilibrium in the Becker-Döring cluster equations