Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (1): 12-.

• Comprehensive Studies • Previous Articles     Next Articles

The Steady State of Dissipative Boltzmann Equation

  

  1. 1.Huali College,Guangdong University of Technology,Guangzhou 511325,China; 2.Department of Mathematics,Suzhou College,Suzhou 234000,China
  • Online:2009-01-01 Published:2009-01-01

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Abstract: It studies the spatially homogeneous dissipative Boltzmann equation.For solutions satisfying conservation of mass and momentum,and decreasing of energy,in the Pseudo-Maxwellian approximation,the uniqueness and regularity of the steady state of the equation are established.

Key words: dissipative Boltzmann equation； steady state； regularity；

[1] M. Bisi,J. A. Carrillo,G. Toscani.  Contractive Metrics for a Boltzmann Equation for Granular Gases: Diffusive Equilibria[J] ,2005

[2] Bertrand Lods,Giuseppe Toscani.  Dissipative Linear Boltzmann Equation for Hard Spheres[J] ,2004 [3] A. V. Bobylev,C. Cercignani.  Moment Equations for a Granular Material in a Thermal Bath[J] ,2002

[4] A. V. Bobylev,J. A. Carrillo,I. M. Gamba.  On Some Properties of Kinetic and Hydrodynamic Equations for Inelastic Interactions[J] ,2000 [5] G. Toscani,C. Villani.  Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas[J] ,1999

[6] E. A. Carlen,E. Gabetta,G. Toscani.  Propagation of Smoothness and the Rate of Exponential Convergence to Equilibrium for a Spatially Homogeneous Maxwellian Gas[J] ,1999

[7] G. Gabetta,G. Toscani,B. Wennberg.  Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation[J] ,1995

[8] M Esteban,B Perthame.On the modified Enskog equation for elastic and inelastic clooisions. Mldes with Spin,Ann. Inst. Poincare . 1991

[9] Spiga,G.,Toscani,G.The dissipative linear Boltzmann equation. Applied Mathematics Letters . 2004 [10] A.V.Bobylev,J.A.Carrillo,I.Gamba.On some properties of kinetic and hydrodynamics equations for inelastic interactions. J Stat.Phys . 1999

[11] J.A.Carrillo,G.Toscani.Exponential toward equilibrium for homogeneous Fokker-Planck-type equation. Math Methods.Appl.Sci . 1998

[12] Xianwen Zhang.Regularity and long time behavior of theBoltzmann equation for granular gases. Journal of Mathematical Analysis and Applications . 2006

[13] Carrillo,JA.,Cercignani,C.,Gamba,I.Steady states of a Boltzmann equation for driven granular media. Physical Review E Statistical Nonlinear and Soft Matter Physics . 2000
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