Stability, Convergence to Self-Similarity and Elastic Limit for the Boltzmann Equation for Inelastic Hard Spheres
暂无分享,去创建一个
[1] D. Hilbert. Grundzuge Einer Allgemeinen Theorie Der Linearen Integralgleichungen , 2009 .
[2] R Brito,et al. Driven inelastic Maxwell models with high energy tails. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Cédric Villani,et al. Cercignani's Conjecture is Sometimes True and Always Almost True , 2003 .
[4] C. Villani,et al. Homogeneous Cooling States¶are not always¶Good Approximations to Granular Flows , 2002 .
[5] Harold Grad,et al. Asymptotic Theory of the Boltzmann Equation , 1963 .
[6] Stéphane Mischler,et al. Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part I: The Cauchy Problem , 2006, math/0607535.
[7] Thomas de Quincey. [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.
[8] Irene M. Gamba,et al. On Some Properties of Kinetic and Hydrodynamic Equations for Inelastic Interactions , 2000 .
[9] S. Kullback,et al. Information Theory and Statistics , 1959 .
[10] Tosio Kato. Perturbation theory for linear operators , 1966 .
[11] Giuseppe Toscani,et al. Decay Rates in Probability Metrics Towards Homogeneous Cooling States for the Inelastic Maxwell Model , 2006 .
[12] Mark D. Blake. A SPECTRAL BOUND FOR ASYMPTOTICALLY NORM-CONTINUOUS SEMIGROUPS , 2001 .
[13] Giuseppe Toscani,et al. Contractive Metrics for a Boltzmann Equation for Granular Gases: Diffusive Equilibria , 2005 .
[14] Giuseppe Toscani,et al. Proof of an Asymptotic Property of Self-Similar Solutions of the Boltzmann Equation for Granular Materials , 2003 .
[15] Fredrik Abrahamsson. Strong L1 convergence to equilibrium without entropy conditions for the Boltzmann equation , 1999 .
[16] Stéphane Mischler,et al. On the spatially homogeneous Boltzmann equation , 1999 .
[17] Cl'ement Mouhot,et al. Cooling Process for Inelastic Boltzmann Equations for Hard Spheres, Part II: Self-Similar Solutions and Tail Behavior , 2006 .
[18] Bernt Wennberg,et al. A maxwellian lower bound for solutions to the Boltzmann equation , 1997 .
[19] Cl'ement Mouhot. Rate of Convergence to Equilibrium for the Spatially Homogeneous Boltzmann Equation with Hard Potentials , 2006 .
[20] M. H. Ernst,et al. Scaling Solutions of Inelastic Boltzmann Equations with Over-Populated High Energy Tails , 2002 .
[21] Thorsten Pöschel,et al. BOOK REVIEW: Kinetic Theory of Granular Gases , 2005 .
[22] Irene M. Gamba,et al. On the Boltzmann Equation for Diffusively Excited Granular Media , 2004 .
[23] Cl'ement Mouhot,et al. Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials , 2005, math/0607532.
[24] T. Carleman,et al. Sur la théorie de l'équation intégrodifférentielle de Boltzmann , 1933 .
[25] Irene M. Gamba,et al. Moment Inequalities and High-Energy Tails for Boltzmann Equations with Inelastic Interactions , 2004 .
[26] Cl'ement Mouhot,et al. Regularity Theory for the Spatially Homogeneous Boltzmann Equation with Cut-Off , 2004, math/0607539.
[27] Harold Grad,et al. Asymptotic Theory of the Boltzmann Equation, II , 1963 .
[28] T. Carleman,et al. Problèmes mathématiques dans la théorie cinétique des gaz , 1957 .
[29] Louis Nirenberg,et al. Topics in Nonlinear Functional Analysis , 2001 .
[30] P. Haff. Grain flow as a fluid-mechanical phenomenon , 1983, Journal of Fluid Mechanics.