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Title of Journal: Arch Rational Mech Anal

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Abbravation: Archive for Rational Mechanics and Analysis

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Springer Berlin Heidelberg

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10.1007/bf01883629

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1432-0673

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Displacement Convexity and Minimal Fronts at Phase

Authors: E A Carlen M C Carvalho R Esposito J L Lebowitz R Marra
Publish Date: 2008/11/12
Volume: 194, Issue: 3, Pages: 823-847
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Abstract

We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition are strictly convex in the sense of displacement convexity under a natural change of variablesWe use this to show that in certain cases the only critical points of these functionals are minimizers This approach based on displacement convexity permits us to treat multicomponent systems as well as single component systems The developments produce new examples of displacement convex functionals and in the multicomponent setting jointly displacement convex functionals

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Other Papers In This Journal:
  1. Optimal Design in Conductivity Under Locally Constrained Heat Flux
  2. Regularity Issues in the Problem of Fluid Structure Interaction
  3. Negative Eigenvalues of Two-Dimensional Schrödinger Operators
  4. Dobrushin States in the $${\phi^4_1}$$ Model
  5. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  6. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  7. Counterexamples to the Sonic Criterion
  8. Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution
  9. On Nonlinear Stochastic Balance Laws
  10. Weak Solutions of the Navier–Stokes Equations for Compressible Flows in a Half-Space with No-Slip Boundary Conditions
  11. Generalized Transition Fronts for One-Dimensional Almost Periodic Fisher-KPP Equations
  12. The Gel’fand Problem for the Biharmonic Operator
  13. The Existence Problem for Steiner Networks in Strictly Convex Domains
  14. Stability of Detonation Profiles in the ZND Limit
  15. Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$H(x,p)
  16. A Condition for the Hölder Regularity of Local Minimizers of a Nonlinear Elastic Energy in Two Dimensions
  17. Kinetic Stabilization¶of a Nonlinear Sonic Phase Boundary
  18. The Toda System and Clustering Interfaces in the Allen–Cahn equation
  19. A Stability Criterion for Two-Fluid Interfaces and Applications
  20. Long-Time Convergence of an Adaptive Biasing Force Method: The Bi-Channel Case
  21. Gradient Bounds for Elliptic Problems Singular at the Boundary
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