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

Volume 5,Number 1,     February 2012

Issue on fast reaction - slow diffusion scenarios:
PDE approximations and free boundaries

1

Preface   Pages : i - i

Toyohiko Aiki,  Danielle Hilhorst,  Masayasu Mimura and Adrian Muntean

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2

On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring   Pages : 1 - 13

Toyohiko Aiki

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3

On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit   Pages : 15 - 28

Toyohiko Aiki,  Martijn Anthonissen and Adrian Muntean

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4

Modelling phase transitions via Young measures   Pages : 29 - 48

Steffen Arnrich

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5

The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction   Pages : 49 - 59

Dieter Bothe and Michel Pierre

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6

Hopf dances near the tips of Busse balloons   Pages : 61 - 92

Arjen Doelman,  Jens D. M. Rademacher and Sjors van der Stelt

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7

Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero   Pages : 93 - 113

Marie Henry,  Danielle Hilhorst and Robert Eymard

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8

Reaction diffusion equation with non-local term arises as a mean field limit of the master equation   Pages : 115 - 126

Kazuhisa Ichikawa,  Mahemauti Rouzimaimaiti and Takashi Suzuki

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9

Global solvability of a model for grain boundary motion with constraint   Pages : 127 - 146

Akio Ito,  Nobuyuki Kenmochi and Noriaki Yamazaki

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10

A relation between cross-diffusion and reaction-diffusion   Pages : 147 - 158

Hideki Murakawa

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11

Optimal control problem for Allen-Cahn type equation associated with total variation energy   Pages : 159 - 181

Takeshi Ohtsuka,  Ken Shirakawa and Noriaki Yamazaki

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12

Stripe patterns and the Eikonal equation   Pages : 183 - 189

Mark A. Peletier and Marco Veneroni

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13

Modeling drug-protein dynamics   Pages : 191 - 207

Lambertus A. Peletier

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14

Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys   Pages : 209 - 217

Takashi Suzuki and Shuji Yoshikawa

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15

Approximating the large time asymptotic reaction zone solution for fractional order kinetics $A^n B^m$   Pages : 219 - 234

Philip M. J. Trevelyan

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16

Experimental data for solid tumor cells: Proliferation curves and time-changes of heat shock proteins   Pages : 235 - 244

Kazuhiko Yamamoto,  Kiyoshi Hosono,  Hiroko Nakayama,  Akio Ito and Yuichi Yanagi

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