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Communications on Pure & Applied Analysis

January 2012 , Volume 11 , Issue 1

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Jacques Demongeot, Danielle Hilhorst, Hiroshi Matano and Masayasu Mimura
2012, 11(1): i-i doi: 10.3934/cpaa.2012.11.1i +[Abstract](975) +[PDF](72.5KB)
Sharp interface limit of the Fisher-KPP equation
Matthieu Alfaro and Arnaud Ducrot
2012, 11(1): 1-18 doi: 10.3934/cpaa.2012.11.1 +[Abstract](986) +[PDF](427.2KB)
Effective viscosity of bacterial suspensions: a three-dimensional PDE model with stochastic torque
B. M. Haines, Igor S. Aranson, Leonid Berlyand and Dmitry A. Karpeev
2012, 11(1): 19-46 doi: 10.3934/cpaa.2012.11.19 +[Abstract](899) +[PDF](3370.5KB)
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion
Adrien Blanchet and Philippe Laurençot
2012, 11(1): 47-60 doi: 10.3934/cpaa.2012.11.47 +[Abstract](870) +[PDF](543.0KB)
Demography in epidemics modelling
Jacques Demongeot, Jean Gaudart, Julie Mintsa and Mustapha Rachdi
2012, 11(1): 61-82 doi: 10.3934/cpaa.2012.11.61 +[Abstract](1117) +[PDF](1372.5KB)
Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
Anton Arnold, Laurent Desvillettes and Céline Prévost
2012, 11(1): 83-96 doi: 10.3934/cpaa.2012.11.83 +[Abstract](925) +[PDF](528.0KB)
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission
Arnaud Ducrot, Michel Langlais and Pierre Magal
2012, 11(1): 97-113 doi: 10.3934/cpaa.2012.11.97 +[Abstract](1150) +[PDF](393.2KB)
Dynamics of a boundary spike for the shadow Gierer-Meinhardt system
Shin-Ichiro Ei, Kota Ikeda and Yasuhito Miyamoto
2012, 11(1): 115-145 doi: 10.3934/cpaa.2012.11.115 +[Abstract](853) +[PDF](538.2KB)
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes
Robert Eymard, Angela Handlovičová and Karol Mikula
2012, 11(1): 147-172 doi: 10.3934/cpaa.2012.11.147 +[Abstract](1067) +[PDF](3082.8KB)
Uniqueness from pointwise observations in a multi-parameter inverse problem
Michel Cristofol, Jimmy Garnier, François Hamel and Lionel Roques
2012, 11(1): 173-188 doi: 10.3934/cpaa.2012.11.173 +[Abstract](1163) +[PDF](470.3KB)
An effective design method to produce stationary chemical reaction-diffusion patterns
Patrick De Kepper and István Szalai
2012, 11(1): 189-207 doi: 10.3934/cpaa.2012.11.189 +[Abstract](981) +[PDF](943.3KB)
The singular limit of a haptotaxis model with bistable growth
Elisabeth Logak and Chao Wang
2012, 11(1): 209-228 doi: 10.3934/cpaa.2012.11.209 +[Abstract](802) +[PDF](413.3KB)
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations
Yuriy Golovaty, Anna Marciniak-Czochra and Mariya Ptashnyk
2012, 11(1): 229-241 doi: 10.3934/cpaa.2012.11.229 +[Abstract](1169) +[PDF](485.6KB)
A congestion model for cell migration
Julien Dambrine, Nicolas Meunier, Bertrand Maury and Aude Roudneff-Chupin
2012, 11(1): 243-260 doi: 10.3934/cpaa.2012.11.243 +[Abstract](1126) +[PDF](953.9KB)
Ostwald ripening in dryland vegetation
Assaf Y. Kletter, Jost von Hardenberg and Ehud Meron
2012, 11(1): 261-273 doi: 10.3934/cpaa.2012.11.261 +[Abstract](831) +[PDF](554.3KB)
Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion
Kota Ikeda and Masayasu Mimura
2012, 11(1): 275-305 doi: 10.3934/cpaa.2012.11.275 +[Abstract](1018) +[PDF](6044.4KB)
Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system
Yasumasa Nishiura, Takashi Teramoto and Xiaohui Yuan
2012, 11(1): 307-338 doi: 10.3934/cpaa.2012.11.307 +[Abstract](1189) +[PDF](1388.2KB)
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito
2012, 11(1): 339-364 doi: 10.3934/cpaa.2012.11.339 +[Abstract](1321) +[PDF](486.1KB)
On the solvability conditions for the diffusion equation with convection terms
Vitali Vougalter and Vitaly Volpert
2012, 11(1): 365-373 doi: 10.3934/cpaa.2012.11.365 +[Abstract](869) +[PDF](354.4KB)
Spatiotemporal dynamics of cooperation and spite behavior by conformist transmission
Joe Yuichiro Wakano
2012, 11(1): 375-386 doi: 10.3934/cpaa.2012.11.375 +[Abstract](780) +[PDF](340.8KB)
Appearance of anomalous singularities in a semilinear parabolic equation
Shota Sato and Eiji Yanagida
2012, 11(1): 387-405 doi: 10.3934/cpaa.2012.11.387 +[Abstract](1046) +[PDF](398.6KB)

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