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Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
 

Volume 10,Number 1,     February 2017

Issue on applications of mathematics to mechanics

1

Preface: Applications of mathematics to mechanics    Pages : i - ii

Alain Miranville,  Ulisse Stefanelli,  Lev Truskinovsky and Augusto Visintin

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2

On microscopic origins of generalized gradient structures    Pages : 1 - 35

Matthias Liero,  Alexander Mielke,  Mark A. Peletier and D. R. Michiel Renger

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3

Asymptotic analyses and error estimates for a Cahn--Hilliard type phase field system modelling tumor growth    Pages : 37 - 54

Pierluigi Colli,  Gianni Gilardi,  Elisabetta Rocca and Jürgen Sprekels

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4

A note on $3$d-$1$d dimension reduction with differential constraints    Pages : 55 - 73

Carolin Kreisbeck

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5

Equipartition of energy for nonautonomous wave equations    Pages : 75 - 85

Gisèle Ruiz Goldstein,  Jerome A. Goldstein and Fabiana Travessini De Cezaro

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6

Boundary control of the number of interfaces for the one-dimensional Allen-Cahn equation    Pages : 87 - 100

Jean-Paul Chehab,  Alejandro A. Franco and Youcef Mammeri

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7

Discrete spin systems on random lattices at the bulk scaling    Pages : 101 - 117

Marco Cicalese and Matthias Ruf

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8

Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires    Pages : 119 - 139

Giuliano Lazzaroni,  Mariapia Palombaro and Anja Schlömerkemper

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9

Carbon-nanotube geometries: Analytical and numerical results    Pages : 141 - 160

Edoardo Mainini,  Hideki Murakawa,  Paolo Piovano and Ulisse Stefanelli

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