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Kinetic & Related Models

June 2010 , Volume 3 , Issue 2


A special issue
Dedicated to Professor Vsevolod Aleksevich Solonnikov on the Occasion of his 75th Birthday

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On half-space problems for the weakly non-linear discrete Boltzmann equation
Niclas Bernhoff
2010, 3(2): 195-222 doi: 10.3934/krm.2010.3.195 +[Abstract](977) +[PDF](331.5KB)
A Boltzmann-type model for market economy and its continuous trading limit
Marzia Bisi and Giampiero Spiga
2010, 3(2): 223-239 doi: 10.3934/krm.2010.3.223 +[Abstract](726) +[PDF](212.9KB)
On the plasma-charge model
Silvia Caprino and Carlo Marchioro
2010, 3(2): 241-254 doi: 10.3934/krm.2010.3.241 +[Abstract](1105) +[PDF](193.5KB)
Weak shocks of a BGK kinetic model for isentropic gas dynamics
Carlota M. Cuesta, Sabine Hittmeir and Christian Schmeiser
2010, 3(2): 255-279 doi: 10.3934/krm.2010.3.255 +[Abstract](800) +[PDF](303.4KB)
Rigorous validity of the Boltzmann equation for a thin layer of a rarefied gas
Raffaele Esposito and Mario Pulvirenti
2010, 3(2): 281-297 doi: 10.3934/krm.2010.3.281 +[Abstract](894) +[PDF](303.5KB)
A mean-field toy model for resonant transport
Patrick Gerard and Christophe Pallard
2010, 3(2): 299-309 doi: 10.3934/krm.2010.3.299 +[Abstract](894) +[PDF](174.6KB)
Analytical and numerical investigations of refined macroscopic traffic flow models
Michael Herty and Reinhard Illner
2010, 3(2): 311-333 doi: 10.3934/krm.2010.3.311 +[Abstract](963) +[PDF](807.8KB)
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
C. David Levermore and Weiran Sun
2010, 3(2): 335-351 doi: 10.3934/krm.2010.3.335 +[Abstract](773) +[PDF](227.0KB)
Fluid modeling for the Knudsen compressor: Case of polyatomic gases
Shigeru Takata, Hitoshi Funagane and Kazuo Aoki
2010, 3(2): 353-372 doi: 10.3934/krm.2010.3.353 +[Abstract](867) +[PDF](443.0KB)

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