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Kinetic & Related Models

December 2013 , Volume 6 , Issue 4

Issue dedicated to Petr P. Zabreiko on the occasion of his 70th birthday

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Seiji Ukai
Yan Guo
2013, 6(4): iii-iii doi: 10.3934/krm.2013.6.4iii +[Abstract](630) +[PDF](80.8KB)
Preface
Kazuo Aoki, Pierre Degond and Tong Yang
2013, 6(4): i-ii doi: 10.3934/krm.2013.6.4i +[Abstract](616) +[PDF](504.2KB)
A Milne problem from a Bose condensate with excitations
Leif Arkeryd and Anne Nouri
2013, 6(4): 671-686 doi: 10.3934/krm.2013.6.671 +[Abstract](1050) +[PDF](401.1KB)
Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force
Renjun Duan and Shuangqian Liu
2013, 6(4): 687-700 doi: 10.3934/krm.2013.6.687 +[Abstract](1105) +[PDF](383.7KB)
Unstable galaxy models
Zhiyu Wang, Yan Guo, Zhiwu Lin and Pingwen Zhang
2013, 6(4): 701-714 doi: 10.3934/krm.2013.6.701 +[Abstract](949) +[PDF](489.3KB)
A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
Yoshinori Morimoto, Karel Pravda-Starov and Chao-Jiang Xu
2013, 6(4): 715-727 doi: 10.3934/krm.2013.6.715 +[Abstract](814) +[PDF](386.5KB)
Global stability of stationary waves for damped wave equations
Lili Fan, Hongxia Liu, Huijiang Zhao and Qingyang Zou
2013, 6(4): 729-760 doi: 10.3934/krm.2013.6.729 +[Abstract](950) +[PDF](502.2KB)
Stability of a Vlasov-Boltzmann binary mixture at the phase transition on an interval
Raffaele Esposito, Yan Guo and Rossana Marra
2013, 6(4): 761-787 doi: 10.3934/krm.2013.6.761 +[Abstract](967) +[PDF](523.0KB)
Transport coefficients in the $2$-dimensional Boltzmann equation
Alexander Bobylev and Raffaele Esposito
2013, 6(4): 789-800 doi: 10.3934/krm.2013.6.789 +[Abstract](883) +[PDF](345.7KB)
On self-similar solutions to the homogeneous Boltzmann equation
Marco Cannone and Grzegorz Karch
2013, 6(4): 801-808 doi: 10.3934/krm.2013.6.801 +[Abstract](965) +[PDF](333.5KB)
Vision-based macroscopic pedestrian models
Pierre Degond, Cécile Appert-Rolland, Julien Pettré and Guy Theraulaz
2013, 6(4): 809-839 doi: 10.3934/krm.2013.6.809 +[Abstract](1068) +[PDF](746.9KB)
On a voltage-conductance kinetic system for integrate & fire neural networks
Benoît Perthame and Delphine Salort
2013, 6(4): 841-864 doi: 10.3934/krm.2013.6.841 +[Abstract](900) +[PDF](481.0KB)
Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition
Shijin Deng, Linglong Du and Shih-Hsien Yu
2013, 6(4): 865-882 doi: 10.3934/krm.2013.6.865 +[Abstract](883) +[PDF](409.8KB)
Energy estimate for a linear symmetric hyperbolic-parabolic system in half line
Tohru Nakamura and Shinya Nishibata
2013, 6(4): 883-892 doi: 10.3934/krm.2013.6.883 +[Abstract](1019) +[PDF](340.2KB)
The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits
Claude Bardos and Nicolas Besse
2013, 6(4): 893-917 doi: 10.3934/krm.2013.6.893 +[Abstract](913) +[PDF](494.7KB)
Empirical measures and Vlasov hierarchies
François Golse, Clément Mouhot and Valeria Ricci
2013, 6(4): 919-943 doi: 10.3934/krm.2013.6.919 +[Abstract](797) +[PDF](526.5KB)
Convex analysis and thermodynamics
Nelly Point and Silvano Erlicher
2013, 6(4): 945-954 doi: 10.3934/krm.2013.6.945 +[Abstract](779) +[PDF](312.2KB)
Some properties of the kinetic equation for electron transport in semiconductors
Wolfgang Wagner
2013, 6(4): 955-967 doi: 10.3934/krm.2013.6.955 +[Abstract](895) +[PDF](372.3KB)
Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension
Masakazu Kato, Yu-Zhu Wang and Shuichi Kawashima
2013, 6(4): 969-987 doi: 10.3934/krm.2013.6.969 +[Abstract](1005) +[PDF](470.0KB)
Remarks on the full dispersion Kadomtsev-Petviashvli equation
David Lannes and Jean-Claude Saut
2013, 6(4): 989-1009 doi: 10.3934/krm.2013.6.989 +[Abstract](886) +[PDF](4149.4KB)
Local existence with mild regularity for the Boltzmann equation
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu and Tong Yang
2013, 6(4): 1011-1041 doi: 10.3934/krm.2013.6.1011 +[Abstract](1065) +[PDF](559.6KB)
A kinetic description of mutation processes in bacteria
Giuseppe Toscani
2013, 6(4): 1043-1055 doi: 10.3934/krm.2013.6.1043 +[Abstract](923) +[PDF](355.4KB)

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