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Discrete & Continuous Dynamical Systems - S

February 2012 , Volume 5 , Issue 1

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

Select all articles


Toyohiko Aiki, Danielle Hilhorst, Masayasu Mimura and Adrian Muntean
2012, 5(1): i-i doi: 10.3934/dcdss.2012.5.1i +[Abstract](843) +[PDF](81.5KB)
On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring
Toyohiko Aiki
2012, 5(1): 1-13 doi: 10.3934/dcdss.2012.5.1 +[Abstract](1142) +[PDF](165.5KB)
On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit
Toyohiko Aiki, Martijn Anthonissen and Adrian Muntean
2012, 5(1): 15-28 doi: 10.3934/dcdss.2012.5.15 +[Abstract](990) +[PDF](456.1KB)
Modelling phase transitions via Young measures
Steffen Arnrich
2012, 5(1): 29-48 doi: 10.3934/dcdss.2012.5.29 +[Abstract](1083) +[PDF](491.7KB)
The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction
Dieter Bothe and Michel Pierre
2012, 5(1): 49-59 doi: 10.3934/dcdss.2012.5.49 +[Abstract](1188) +[PDF](355.5KB)
Hopf dances near the tips of Busse balloons
Arjen Doelman, Jens D. M. Rademacher and Sjors van der Stelt
2012, 5(1): 61-92 doi: 10.3934/dcdss.2012.5.61 +[Abstract](947) +[PDF](563.5KB)
Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero
Marie Henry, Danielle Hilhorst and Robert Eymard
2012, 5(1): 93-113 doi: 10.3934/dcdss.2012.5.93 +[Abstract](1290) +[PDF](557.0KB)
Reaction diffusion equation with non-local term arises as a mean field limit of the master equation
Kazuhisa Ichikawa, Mahemauti Rouzimaimaiti and Takashi Suzuki
2012, 5(1): 115-126 doi: 10.3934/dcdss.2012.5.115 +[Abstract](1223) +[PDF](316.0KB)
Global solvability of a model for grain boundary motion with constraint
Akio Ito, Nobuyuki Kenmochi and Noriaki Yamazaki
2012, 5(1): 127-146 doi: 10.3934/dcdss.2012.5.127 +[Abstract](1181) +[PDF](419.5KB)
A relation between cross-diffusion and reaction-diffusion
Hideki Murakawa
2012, 5(1): 147-158 doi: 10.3934/dcdss.2012.5.147 +[Abstract](1206) +[PDF](346.0KB)
Optimal control problem for Allen-Cahn type equation associated with total variation energy
Takeshi Ohtsuka, Ken Shirakawa and Noriaki Yamazaki
2012, 5(1): 159-181 doi: 10.3934/dcdss.2012.5.159 +[Abstract](1184) +[PDF](530.0KB)
Stripe patterns and the Eikonal equation
Mark A. Peletier and Marco Veneroni
2012, 5(1): 183-189 doi: 10.3934/dcdss.2012.5.183 +[Abstract](1083) +[PDF](155.6KB)
Modeling drug-protein dynamics
Lambertus A. Peletier
2012, 5(1): 191-207 doi: 10.3934/dcdss.2012.5.191 +[Abstract](977) +[PDF](557.9KB)
Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys
Takashi Suzuki and Shuji Yoshikawa
2012, 5(1): 209-217 doi: 10.3934/dcdss.2012.5.209 +[Abstract](977) +[PDF](313.9KB)
Approximating the large time asymptotic reaction zone solution for fractional order kinetics $A^n B^m$
Philip M. J. Trevelyan
2012, 5(1): 219-234 doi: 10.3934/dcdss.2012.5.219 +[Abstract](851) +[PDF](336.7KB)
Experimental data for solid tumor cells: Proliferation curves and time-changes of heat shock proteins
Kazuhiko Yamamoto, Kiyoshi Hosono, Hiroko Nakayama, Akio Ito and Yuichi Yanagi
2012, 5(1): 235-244 doi: 10.3934/dcdss.2012.5.235 +[Abstract](849) +[PDF](418.7KB)

2017  Impact Factor: 0.561




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