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  Abstract
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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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