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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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DOI

10.1002/jsfa.8137

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1432-0673

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Optimal Design in Conductivity Under Locally Const

Authors: Jose Carlos Bellido Alberto Donoso Pablo Pedregal
Publish Date: 2009/01/21
Volume: 195, Issue: 1, Pages: 333-351
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Abstract

This paper addresses the relaxation of an optimal design problem in conductivity under a pointwise constraint on the heat flux By using a variational approach developed by the authors in a previous work we obtained a complete relaxation involving the explicit computation of constrained quasiconvex envelopes This relaxed formulation turns out to be very simple in the remarkable compliance case for which numerical simulations are performed Those simulations show that our approach and results are interesting from a theoretical point of view as well as from a practical perspective The emphasis of our work is placed on the local constraint on the heat flux which seems to be a new ingredient for this kind of optimal design problems

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