ESAIM: Control, Optimisation and Calculus of Variations Vol. 18 Iss. 01

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Vol. 18 Issue 01

ESAIM: Control, Optimisation and Calculus of Variations

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Table of Contents - January 2012 - Volume 18 - Issue 01

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Research Articles

Stabilization of walls for nano-wires of finite length Stabilization of walls for nano-wires of finite length

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Gilles Carbou and Stéphane Labbé

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 1 - 21

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010048 (About DOI)

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Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation

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Bao-Zhu Guo, Cheng-Zhong Xu and Hassan Hammouri

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 22 - 35

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010044 (About DOI)

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BV solutions and viscosity approximations of rate-independent systems BV solutions and viscosity approximations of rate-independent systems

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Alexander Mielke, Riccarda Rossi and Giuseppe Savaré

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 36 - 80

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010054 (About DOI)

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Dynamic Programming Principle for tug-of-war games with noise Dynamic Programming Principle for tug-of-war games with noise

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Juan J. Manfredi, Mikko Parviainen and Julio D. Rossi

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 81 - 90

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010046 (About DOI)

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Homogenization of many-body structures subject to large deformations Homogenization of many-body structures subject to large deformations

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Philipp Emanuel Stelzig

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 91 - 123

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010052 (About DOI)

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Global optimality conditions for a dynamic blocking problem Global optimality conditions for a dynamic blocking problem

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Alberto Bressan and Tao Wang

Imagine a fire developing in a windy zone. The burned area will grow developing in all directions and being influenced by the wind. A model for this situation is naturally given by a differential inclusion, in dimension two, and the burned area is the reachable set.
Firefighters will start constructing walls (or barriers) to limit the fire expansion. However, one has to take into account the time needed for that. The optimization problem considered in this paper corresponds to the minimization of burned area and of costs for construction of wall, modeled by a one-dimensional rectifiable set. Necessary conditions are derived, which are obviously quite complicated to state, but explicit enough to solve some simple yet interesting problems. Moreover, they open the way to address the problem numerically.

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 124 - 156

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010053 (About DOI)

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On a Bernoulli problem with geometric constraints On a Bernoulli problem with geometric constraints

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Antoine Laurain and Yannick Privat

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 157 - 180

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010049 (About DOI)

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Weak notions of Jacobian determinant and relaxation Weak notions of Jacobian determinant and relaxation

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Guido De Philippis

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 181 - 207

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010047 (About DOI)

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Controller design for bush-type 1-d wave networks Controller design for bush-type 1-d wave networks

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Yaxuan Zhang and Genqi Xu

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 208 - 228

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010050 (About DOI)

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A phase-field model for compliance shape optimization in nonlinear elasticity A phase-field model for compliance shape optimization in nonlinear elasticity

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Patrick Penzler, Martin Rumpf and Benedikt Wirth

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 229 - 258

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010045 (About DOI)

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Dimension reduction for functionals on solenoidal vector fields Dimension reduction for functionals on solenoidal vector fields

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Stefan Krömer

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 259 - 276

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010051 (About DOI)

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Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity

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Sorin Micu and Ionel Rovenţa

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 01 / 2012, pp 277 - 293

Published online by Cambridge University Press: 19 January 2011

DOI: http://dx.doi.org/10.1051/cocv/2010055 (About DOI)

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