Yamamoto, Kazuhiko; Hosono, Kiyoshi; Nakayama, Hiroko; Ito, Akio; Yanagi, Yuichi Experimental data for solid tumor cells: proliferation curves and time-changes of heat shock proteins. (English) Zbl 1239.92062 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 235-244 (2012). MSC: 92C50 92C40 92C45 37N25 65C60 PDFBibTeX XMLCite \textit{K. Yamamoto} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 235--244 (2012; Zbl 1239.92062) Full Text: DOI
Trevelyan, Philip M. J. Approximating the large time asymptotic reaction zone solution for fractional order kinetics \(A^n B^m\). (English) Zbl 1364.35150 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 219-234 (2012). MSC: 35K57 35K51 35R35 41A60 80A30 33C05 35A35 35B40 PDFBibTeX XMLCite \textit{P. M. J. Trevelyan}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 219--234 (2012; Zbl 1364.35150) Full Text: DOI
Suzuki, Takashi; Yoshikawa, Shuji Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys. (English) Zbl 1252.74052 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 209-217 (2012). MSC: 74N30 35Q74 80A22 PDFBibTeX XMLCite \textit{T. Suzuki} and \textit{S. Yoshikawa}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 209--217 (2012; Zbl 1252.74052) Full Text: DOI
Peletier, Lambertus A. Modeling drug-protein dynamics. (English) Zbl 1241.92031 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 191-207 (2012). MSC: 92C45 34C60 34D15 92C42 37N25 PDFBibTeX XMLCite \textit{L. A. Peletier}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 191--207 (2012; Zbl 1241.92031) Full Text: DOI
Peletier, Mark A.; Veneroni, Marco Stripe patterns and the eikonal equation. (English) Zbl 1243.35019 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 183-189 (2012). MSC: 35B36 35B65 35F20 PDFBibTeX XMLCite \textit{M. A. Peletier} and \textit{M. Veneroni}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 183--189 (2012; Zbl 1243.35019) Full Text: DOI arXiv
Ohtsuka, Takeshi; Shirakawa, Ken; Yamazaki, Noriaki Optimal control problem for Allen-Cahn type equation associated with total variation energy. (English) Zbl 1239.49004 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 159-181 (2012). MSC: 49J20 49M30 49K20 35K55 35R35 PDFBibTeX XMLCite \textit{T. Ohtsuka} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 159--181 (2012; Zbl 1239.49004) Full Text: DOI
Murakawa, Hideki A relation between cross-diffusion and reaction-diffusion. (English) Zbl 1255.35135 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 147-158 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K51 35K57 35K61 PDFBibTeX XMLCite \textit{H. Murakawa}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 147--158 (2012; Zbl 1255.35135) Full Text: DOI
Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki Global solvability of a model for grain boundary motion with constraint. (English) Zbl 1246.35100 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 127-146 (2012). Reviewer: Galina Bizhanova (Almaty) MSC: 35K51 35K55 35R35 35K86 PDFBibTeX XMLCite \textit{A. Ito} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 127--146 (2012; Zbl 1246.35100) Full Text: DOI
Ichikawa, Kazuhisa; Rouzimaimaiti, Mahemauti; Suzuki, Takashi Reaction diffusion equation with non-local term arises as a mean field limit of the master equation. (English) Zbl 1364.82042 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 115-126 (2012). MSC: 82C31 35K57 93A30 PDFBibTeX XMLCite \textit{K. Ichikawa} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 115--126 (2012; Zbl 1364.82042) Full Text: DOI
Eymard, Robert; Henry, Marie; Hilhorst, Danielle Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. (English) Zbl 1364.35118 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 93-113 (2012). MSC: 35K40 35B25 35D30 35K65 76S05 PDFBibTeX XMLCite \textit{R. Eymard} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 93--113 (2012; Zbl 1364.35118) Full Text: DOI arXiv
Doelman, Arjen; Rademacher, Jens D. M.; van der Stelt, Sjors Hopf dances near the tips of Busse balloons. (English) Zbl 1252.35032 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 61-92 (2012). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 37L15 34L16 35B36 35K45 35K58 PDFBibTeX XMLCite \textit{A. Doelman} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 61--92 (2012; Zbl 1252.35032) Full Text: DOI Link
Bothe, Dieter; Pierre, Michel The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. (English) Zbl 1259.35015 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 49-59 (2012). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 35B25 35K57 92E20 35K51 35K58 35R35 PDFBibTeX XMLCite \textit{D. Bothe} and \textit{M. Pierre}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 49--59 (2012; Zbl 1259.35015) Full Text: DOI
Arnrich, Steffen Modelling phase transitions via Young measures. (English) Zbl 1252.74050 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 29-48 (2012). MSC: 74N15 74N25 74B20 35K55 49J45 28C20 PDFBibTeX XMLCite \textit{S. Arnrich}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 29--48 (2012; Zbl 1252.74050) Full Text: DOI
Aiki, Toyohiko; Anthonissen, Martijn; Muntean, Adrian On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit. (English) Zbl 1243.74017 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 15-28 (2012). MSC: 74D99 35D30 35J60 35J66 65N06 35Q74 PDFBibTeX XMLCite \textit{T. Aiki} et al., Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 15--28 (2012; Zbl 1243.74017) Full Text: DOI
Aiki, Toyohiko On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring. (English) Zbl 1245.35152 Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 1-13 (2012). MSC: 35R35 74D10 74H20 35D30 PDFBibTeX XMLCite \textit{T. Aiki}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 1, 1--13 (2012; Zbl 1245.35152) Full Text: DOI